{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "cbe61845",
   "metadata": {},
   "source": [
    "# garage \n",
    "\n",
    "环境 tpv\n",
    "\n",
    "https://garage.readthedocs.io/en/latest/user/installation.html#install-garage-in-a-python-environment"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "24eaa410",
   "metadata": {},
   "outputs": [],
   "source": [
    "#!pip install --user garage"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "4d3b46da",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "zsh:1: command not found: garage\n"
     ]
    }
   ],
   "source": [
    "!garage examples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "a3c52393",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "zsh:1: command not found: garage\n"
     ]
    }
   ],
   "source": [
    "#https://github.com/rlworkgroup/garage/blob/master/benchmarks/src/garage_benchmarks/experiments/algos/trpo_garage_pytorch.py\n",
    "\n",
    "!garage examples tf/dqn_cartpole.py > tf_dqn_cartpole.py"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "68355276",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "/opt/anaconda3/bin/python: Error while finding module specification for 'garage.examples.tf.dqn_cartpole.py' (ModuleNotFoundError: No module named 'garage'). Try using 'garage.examples.tf.dqn_cartpole' instead of 'garage.examples.tf.dqn_cartpole.py' as the module name.\n"
     ]
    }
   ],
   "source": [
    "# !python tf_dqn_cartpole.py\n",
    "!python -m garage.examples.tf.dqn_cartpole.py"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c98fadaa",
   "metadata": {},
   "source": [
    "DQN spezifische Metriken (DQN特定指标):\n",
    "DQN/QFLossMean 8.17667: Q函数（价值函数）的平均损失。这个值本身需要结合训练过程中的变化趋势来看。如果持续下降，说明网络在学习；如果震荡或上升，可能存在学习率过大、目标网络更新频率不当等问题。\n",
    "DQN/QFLossStd 10.6873: Q函数损失的标准差。这个值比较大，甚至超过了均值，表明损失的波动性较大，可能训练还不够稳定。\n",
    "策略相关指标：\n",
    "EpsilonGreedyPolicy/Epsilon 0.02: 当前Epsilon-greedy策略中的Epsilon值。0.02意味着在98%的情况下，智能体会选择当前认为最优的动作（exploitation），而在2%的情况下会随机选择动作（exploration）。\n",
    "关键点：对于CartPole这种相对简单的环境，如果训练刚开始不久（epoch #3），Epsilon就降到0.02可能太低了。这会导致探索不足，智能体可能过早地收敛到一个次优策略。通常Epsilon会从一个较高的值（如1.0）随训练逐步衰减。\n",
    "\n",
    "\n",
    "评估指标 (Evaluation Metrics) - 这是判断模型性能的关键：\n",
    "Evaluation/AverageDiscountedReturn 9.46: 评估期间，100个episode的平均折扣回报。\n",
    "Evaluation/AverageReturn 9.46: 评估期间，100个episode的平均（未折扣）回报。\n",
    "核心问题：对于CartPole环境，这个回报值非常低。CartPole-v0通常认为平均回报达到195（持续195步不倒）算解决，CartPole-v1则要求更高（通常是475）。9.46意味着杆子很快就倒了。\n",
    "Evaluation/Iteration 30: 这可能是评估的迭代次数或评估的ID。\n",
    "Evaluation/MaxReturn 11: 在100个评估episode中，获得的最大回报是11。\n",
    "Evaluation/MinReturn 8: 在100个评估episode中，获得的最小回报是8。\n",
    "解读：最大和最小回报都非常低，且相差不大，说明智能体表现稳定地差。\n",
    "Evaluation/NumEpisodes 100: 用于评估的episode数量。100是一个不错的样本量，可以提供相对可靠的平均性能。\n",
    "Evaluation/StdReturn 0.713022: 评估回报的标准差。相对于平均回报9.46来说，这个标准差不算特别大，也印证了表现稳定（但稳定在差的水平）。\n",
    "Evaluation/TerminationRate 1: 终止率是100%。这意味着在评估的100个episode中，所有episode都因为失败（杆子倒下或车子出界）而终止，而不是因为达到了最大步数限制（如果环境设置了成功时的最大步数）。\n",
    "环境交互信息：\n",
    "\n",
    "\n",
    "TotalEnvSteps 20160: 到目前为止，智能体与环境交互的总步数。2万步对于CartPole来说，如果超参数设置合理，通常已经能看到明显的学习效果了。\n",
    "总结与建议：\n",
    "当前状态：模型训练处于早期（epoch 3），但从性能指标看，学习效果非常不理想。平均回报9.46远低于CartPole环境的解决标准。\n",
    "\n",
    "\n",
    "主要问题：\n",
    "探索不足：Epsilon值在epoch 3就降至0.02，这很可能是导致性能差的主要原因。智能体没有足够的机会探索环境，可能过早地陷入了一个局部最优（而且是很差的局部最优）。\n",
    "学习不稳定：QFLossStd 较大，可能表明学习过程存在一些不稳定性。\n",
    "后续行动建议：\n",
    "检查Epsilon衰减策略：确保Epsilon的初始值较高（如1.0），并且衰减速度不要过快。给智能体更多的时间去探索。可能需要延长衰减的周期，或者使用更平缓的衰减函数。\n",
    "监控Loss曲线：持续观察QFLossMean和QFLossStd的变化。如果Loss不下降或剧烈震荡，需要调整学习率、目标网络更新频率、Replay Buffer大小等超参数。\n",
    "检查超参数：\n",
    "学习率 (Learning Rate)：过大或过小都可能导致问题。\n",
    "折扣因子 (Discount Factor, Gamma)：对于CartPole，通常设置在0.99左右。\n",
    "Replay Buffer大小和Batch Size：需要合理配置。\n",
    "目标网络更新频率 (Target Network Update Frequency)：更新太频繁或太慢都可能影响稳定性。\n",
    "网络结构：对于CartPole，一个简单的几层全连接网络就足够了。如果网络太复杂，反而可能难以训练。\n",
    "奖励设计 (Reward Shaping)：虽然CartPole通常不需要复杂的奖励设计（默认每一步奖励+1），但可以确认一下是否被修改过。\n",
    "环境版本：确认使用的是CartPole-v0还是CartPole-v1，它们的目标分数不同。\n",
    "总而言之，这份日志显示智能体还没有学会如何在CartPole环境中保持平衡。首要任务是增加探索，并仔细检查和调整DQN算法的各项超参数。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "6b8ee9af",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib\n",
    "matplotlib.rcParams['font.sans-serif'] = ['Heiti TC']\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.linalg import inv\n",
    "from control import c2d, dlqr, ss  # 需要安装control库: pip install control\n",
    "\n",
    "# ==================== 物理参数定义 ====================\n",
    "# 定义系统物理参数（单位：kg, m, rad等）\n",
    "m_1 = 0.9      # 车体的质量\n",
    "m_2 = 0.1      # 摆杆的质量\n",
    "r = 0.0335     # 车轮的半径\n",
    "L_1 = 0.126    # 车体的长度\n",
    "L_2 = 0.390    # 摆杆的长度\n",
    "l_1 = L_1 / 2  # 车体质心到转轴的距离\n",
    "l_2 = L_2 / 2  # 摆杆质心到转轴的距离\n",
    "g = 9.8        # 重力加速度\n",
    "\n",
    "# 计算转动惯量（刚体绕质心的转动惯量公式）\n",
    "I_1 = (1/12) * m_1 * L_1**2  # 车体转动惯量\n",
    "I_2 = (1/12) * m_2 * L_2**2  # 摆杆转动惯量\n",
    "\n",
    "# ==================== 系统建模 ====================\n",
    "# 构建惯性矩阵 p (4x4矩阵)\n",
    "p = np.array([\n",
    "    [1, 0, 0, 0],\n",
    "    [0, 1, 0, 0],\n",
    "    [(r/2)*(m_1*l_1 + m_2*L_1), (r/2)*(m_1*l_1 + m_2*L_1), m_1*l_1**2 + m_2*L_1**2 + I_1, m_2*L_1*l_2],\n",
    "    [(r/2)*m_2*l_2, (r/2)*m_2*l_2, m_2*L_1*l_2, m_2*l_2**2 + I_2]\n",
    "])\n",
    "\n",
    "# 构建重力/外力矩阵 q (4x10矩阵)\n",
    "q = np.array([\n",
    "    [0, 0, 0, 0, 0, 0, 0, 0, 1, 0],\n",
    "    [0, 0, 0, 0, 0, 0, 0, 0, 0, 1],\n",
    "    [0, 0, (m_1*l_1 + m_2*L_1)*g, 0, 0, 0, 0, 0, 0, 0],\n",
    "    [0, 0, 0, m_2*g*l_2, 0, 0, 0, 0, 0, 0]\n",
    "])\n",
    "from vis import print_a_matrix\n",
    "print_a_matrix(p)\n",
    "print_a_matrix(q)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "35d6e5a2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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0dNQrwqZISUlBr169MGDAALz//vuPbduwYUMkJiYadXwORxMREZUiOzsbvXv3Rv369bF8+XK9bW3atMEvv/yi+1mr1eLgwYNGz5QWfU/Y1cEW04eFoH2TOsjMycPGA2ex9veTpbbtGOCLCQOfg7e7M2IT0zBv4wFEx9/UbR/RozWGBAfCwVaFqOh4zFkfibuZOczO3GZ/rwDA8kmD0LqBD34/eRnTVu16ZLuOAb6YMOCB7D+Vkr3r/ewXn152KV9vqWaXau6yKjJxdrQp+xocq6gIr7zyCpKTk/HNN9/g2rVrum3169fH888/j3fffRdA8WeDFy9ejOTkZLz11ltGnUf0PeEvxvSGg60KYxZswfxNBzG8e0u83KWZQTtfT1d8+U4f7D5+GSPCN+J0TAKWju8Pd2d7AEC/TgEY2bM1Fmw+hNELNkOllGPhu32ZnbnNnhsArKrJEL5+PzYd/Pux7Xw9XfHlmD7YfeIyRsy9n33cA9k7BmBkj9ZYsOV+doUcC8OeTnYpX2+pZpdq7rIqEkxfKsq4ceOwc+dO3Lx5E+3atUOjRo10i1qtxkcffYQRI0YgLCwMwcHBSEtLw/79++Hs7GzUeURdhJv6eSLAzxNTV+zE+bgUHDgTi4Vb/sCbvdri4a+xHBrSAsei47Fm9wnEJKZi0dYjuJKYiqEhxTfRh3dvhRURUdh7KgYX4m5i6vII+Hq4omOAL7Mzt1nfKwBQpBUQf+se0rNyH9tuaPBD2bfdzx78QPad97PH38TUFU8nu5Svt1SzSzW3VMyaNQs//fST7uelS5dCEIRSF2dnZ8jlcsyZMwfJycnIzc3Fvn370KRJE6PPK+oiHFjPC2djkvR+Me0/HQNHW2v4e7npt/X3woEzsXrrdv11CW0b1YaLgw3qeLgi8oHtOXkFOPzPNbRrXIvZmdus7xVjlJr9eBmyN6rY7FK+3lLNLtXcxtBWwCI1oi7CHq6OSErL0FunyS9EWkY2vN2cH2rrYNA2ITUdXu5O8HB1REFREW7dy9LffjsdXm5OzM7cZn2vGKPU7LefkD214rNL+XpLNbtUcxtDCxmKTFi0kD35JCIj6iKsUsiRmWP4pBN1jgY2KoV+W6Uc6mz9tpnZGtgoFbBWyJFV6nHyDI5TUaSanbkr/71iDJVSDvVD+TJznpA9u+KzS/l6SzW7VHPT44l6dnReQSGUCiuD9Q42KmjyC/Tb5hdC9VBbB9vidpqCQigVhi+1+DiFFRu6JI9EszN35b9XjFGu7LYVn13K11uq2aWa2xhaoXgxZX+pEXVPOOWOGl7u+sMj1ko53J3tkZiqP9SSctewrU91ZySlZSDljhp21ko429sYbn/oOJaenbkr/71ijJS7aoMhQx/3J2S/v71Cc0j4eks1u1RzG8OUoeiSRWpEXYTPxCaiRT1v2Nsodeu6NPdHVm4erial6beNSUJQ07p667q3boDjl24gPSsXcSl30LmZn26btVKOoKZ+OH7JuOd8VvXszF357xVjnIktQ/amD2RXPJ3sUr7eUs0u1dzGYBEWmQtxNxGTcBvho3ohwNcDnZvVxaRBnbFq53Eo5FbYMmsExvbtAAD46eBZhLasj1e7tUQ9bzeM7dsBAb6e2LD/DADgh72nMa7/cwgO9Efj2jUQPqoXElLT8eeFOGZnbrO+Vx5HpZBjy8xSsoc+lD3yfvZ9lZNdytdbqtmlmpseT9T3hAFgyrIIzHgtFMvfH4SsnDys338Gmw7+DZVCDoXcCgp58X2PuJS7mLJsByYODEJYv46ITUxD2NdbcTu9eAbgr0cvwMXBBlOHBsPeWoWoi/9iwpLtMOFZ4VU2O3NX/nvlcRRyKyisHsi+fAcmDnhMdnsbTB3yQPalTye7lK+3VLNLNXdZaQUZtEL5e7Om7GsuMkGo/MuuVqvh5OSEpiM+h5XSurJPT1Q5pPf7oJgEJ7dQ5SrK1+Dc2hnIyMiokC9KKKkJhy94wd6h/AO0WZladA5IqrBclUHUw9FERERVmeiHo4mIyDIUoRqKTOgbFlVglsrCIkxERKIgmHhPWJDgPWEORxMREZkJe8JERCQKpn7WV4qfE2YRJiIiUSgSqqFIMOGesARn9rMIExGRKGghg9aEu6RaCX6+jveEiYiIzIQ9YSIiEgXeEyYiIjIT0+8JcziaiIiIyog9YSIiEoXiiVkmfIEDh6OJiIjKR2viYys5O5qIiIjKjD1hIiISBUucmMUiTEREoqBFNT6sg4iIiCoHe8JET4v0/igvJr0JpsWker1Jp0iQociEryM0ZV9zYREmIiJRKDJxdnSRBP8SYxEmIiJR0ArVoDVhYpZWghOzeE+YiIjITNgTJiIiUeBwNBERkZloYdrkKm3FRak0HI4mIiIyE/aEiYhIFEx/WIf0+pUswkREJAqmP7ZSekVYeomJiIgqUNeuXSGTyTB48GC99SdOnEDr1q1hbW2NJk2aYNeuXXrb165dCz8/P9jY2CA4OBixsbFGn5tFmIiIRKHk+4RNWYxVWFiIb7/9FmFhYXrrU1NT0bNnT7Rv3x5RUVEYOXIkBgwYgLNnzwIA9u3bh9GjR2Pq1Kk4evQovL290a1bN2RnZxt1fhZhIiIShZLhaFMWY8nlcjRs2BBubm5661etWoVatWph8eLFCAwMxOTJkzF48GCEh4cDAL788kuMGTMGo0ePRosWLfDdd99BLpdj7dq1Rp2fRZiIiOghR44cwYABA/TWvfrqq9i3bx8EQcCff/6pt93KygpDhgzBvn37jDoPizAREYlCycM6TFkqyo0bN+Dr66u3zt/fH+np6UhLS0NOTk6p269fv27UeTg7moiIREEryKA15WEd9/dVq9V661UqFVQqlVHHys3NhYuLi966kp81Go3ezw9u5z1hIiKSJK2JveCSzwn7+PjAyclJt5TcxzWGjY2NrtiWSE9PBwBdQS9tu62trVHnYU+YiIiqlISEBDg6Oup+NrYXDAC1a9c2GFq+evUqnJyc4O7uDjs7O1y/fh3PPPOM3nY/Pz+jzsOeMBERiULJVxmasgCAo6Oj3lKeIhwUFIQdO3borfvpp58QGhoKmUyG5557Tm+7VqvFzz//jNDQUKPOI/qesKuDLaYPC0H7JnWQmZOHjQfOYu3vJ0tt2zHAFxMGPgdvd2fEJqZh3sYDiI6/qds+okdrDAkOhIOtClHR8ZizPhJ3M3OYnbmZ2wTLJw1C6wY++P3kZUxbteuR7ToG+GLCgAey/1RK9q73s1/kNa9KucuqCDIUleOzvg/uX1HeeOMNzJs3Dx988AGGDh2Kw4cPY926dThy5AgAYNKkSejXrx98fX3RvHlzLF26FDk5OXj99deNOo/oe8JfjOkNB1sVxizYgvmbDmJ495Z4uUszg3a+nq748p0+2H38MkaEb8TpmAQsHd8f7s72AIB+nQIwsmdrLNh8CKMXbIZKKcfCd/syO3MztwmsqskQvn4/Nh38+7HtfD1d8eWYPth94jJGzL2ffdwD2TsGYGSP1liw5X52hRwLw3jNq0puKXJ3d8eePXtw4MABtG3bFitWrMDmzZvRsmVLAEC3bt2wdOlSzJ49G+3bt0dcXBz2798Pe3t7o84j6p5wUz9PBPh5oseUFUjPygXiAFuVAu/174TNh/+B8MBXRw4NaYFj0fFYs/sEACAmMRWN63hgaEggFm09guHdW2FFRBT2nooBAExdHoE9899GxwBfHL0Qx+zMzdzlUKQVEH/rHtKzcuFsb/3IdkODH5E9OBCLtt3PvvOB7CsisGcer3lVyG2MB4eUy7t/ec2aNctgXZs2bXDq1KlH7vP6668b3fN9mKh7woH1vHA2Jqn4DXff/tMxcLS1hr+X/tNNAv29cOCM/nM7d/11CW0b1YaLgw3qeLgi8oHtOXkFOPzPNbRrXIvZmZu5n7JSsx8vQ/ZGvOZSz22MIvw3JF2+RXpEXYQ9XB2RlJaht06TX4i0jGx4uzk/1NbBoG1Cajq83J3g4eqIgqIi3LqXpb/9djq83JyYnbmZ+ykrNfvtJ2RP5TWvCrnp8UQ9HK1SyKHO1hisV+doYKNS6LdVyqHOztNbl5mtgY1SAWuFHFk5+tuKj5NncJyKItXszM3cT4NKKYf6oXyZOU/Ins1rrpdFormNYc7haHMRdRHOKyiEUmFlsN7BRgVNfoF+2/xCqB5q62Bb3E5TUAilwvClFh+nsGJDl+SRaHbmZu6noVzZbXnN9bJINLcx+H3CIpNyRw0vd/3hEWulHO7O9khM1R9qSblr2NanujOS0jKQckcNO2slnO1tDLc/dBxLz87czP00pNxVGwx1+rg/Ifv97RWeRaLXXKq56fFEXYTPxCaiRT1v2Nsodeu6NPdHVm4erial6beNSUJQ07p667q3boDjl24gPSsXcSl30LnZf08ysVbKEdTUD8cv/cvszM3cT9mZ2DJkb/pAdgWveVXJbQzBxO8SFirwc8KVRdRF+ELcTcQk3Eb4qF4I8PVA52Z1MWlQZ6zaeRwKuRW2zBqBsX07AAB+OngWoS3r49VuLVHP2w1j+3ZAgK8nNuw/AwD4Ye9pjOv/HIID/dG4dg2Ej+qFhNR0/PmUpuNLNTtzM3dFUCnk2DKzlOyhD2WPvJ99H695Vc1tDHN8n7C5ifqeMABMWRaBGa+FYvn7g5CVk4f1+89g08G/oVLIoZBbQSEvvu8Rl3IXU5btwMSBQQjr1xGxiWkI+3orbqcXzwD89egFuDjYYOrQYNhbqxB18V9MWLJd77N1zM7czF1xFHIrKKweyL58ByYOeEx2extMHfJA9qW85lUld1lV1LcoSYlMECr/sqvVajg5OaHpiM9hpXz0B/yJyAyk93usmJkLiCUpytfg3NoZyMjI0PuihPIqqQnvH+0NlX35Z2jnZRXgq44RFZarMoi+J0xERJah5CsJTdlfaliEiYhIFCxxOFp6fzYQERFVEewJExGRKGhRDVoT+oam7GsuLMJERCQKRYIMRSYMKZuyr7lI788GIiKiKoI9YSIiEgVLnJjFIkxERKIgmPgtSoIEn5glvcRERERVBHvCREQkCkWQociER7aZsq+5sAgTEZEoaAXT7utqJfjoUhZhIiISBa2J94RN2ddcpJeYiIioimBPmIiIREELGbQm3Nc1ZV9zYREmIiJR4BOziIiIqNKwJ0xE+iQ4wxQAJDgS+R+pXvMKZokTs1iEiYhIFLQw8bGVEvxLTHp/NhAREVUR7AkTEZEoCCbOjhYk2BNmESYiIlGwxG9R4nA0ERGRmbAnTEREosDZ0URERGZiicPRLMJERCQKlvjYSun13YmIiKoIFmEiIhKFkuFoUxZjxMfHQyaTlbqcOnUKAFCrVi299QMHDqzQ18zhaCIiEoXKvifs5eWFS5cu6a2bMWMG8vLy0KpVK2RmZiIhIQFRUVFwdnYGADg6OpY7X2lYhImIyCIpFAo0bNhQ93NycjJ27dqFP/74AwAQHR0NJycntGvX7qllYBEmIiJRMPfs6PDwcISEhKB169YAiotwgwYNTDrmk/CeMBERiUJl3xN+UHJyMlatWoWZM2fq1kVHRyM6OhouLi5o1KgRVq9eXREvUw97wkREVKWo1Wq9n1UqFVQq1WP3mTdvnl4vGAD8/PywZs0a1KlTB2fOnMHEiRPh5ORUoZOzWISJiEgUBJj2Wd+Sr2X28fHRWz9z5kzMmjXrkfulpKRg5cqVOHz4sN76d999V/ffbdq0QVZWFpYsWcIiTEREVU9F3RNOSEjQm8Vcll5w165d9XrBpWnYsCGWLVtW7nylEX0RdnWwxfRhIWjfpA4yc/Kw8cBZrP39ZKltOwb4YsLA5+Dt7ozYxDTM23gA0fE3ddtH9GiNIcGBcLBVISo6HnPWR+JuZg6zMzdzW1DuEssnDULrBj74/eRlTFu165HtOgb4YsKAB7L/VEr2rvezX+Q1FwNHR8cyf5To5s2bWLFihUEvePz48VCpVJg/f75uXWRkpN5s6oog+olZX4zpDQdbFcYs2IL5mw5iePeWeLlLM4N2vp6u+PKdPth9/DJGhG/E6ZgELB3fH+7O9gCAfp0CMLJnayzYfAijF2yGSinHwnf7MjtzM7eF5QYAq2oyhK/fj00H/35sO19PV3w5pg92n7iMEXPvZx/3QPaOARjZozUWbLmfXSHHwjBe8/Iyx8SsR/WC+/bti6+//hqLFy/GqVOnMHv2bCxduhTTp0+vqJcLQORFuKmfJwL8PDF1xU6cj0vBgTOxWLjlD7zZqy1kD13roSEtcCw6Hmt2n0BMYioWbT2CK4mpGBoSCAAY3r0VVkREYe+pGFyIu4mpyyPg6+GKjgG+zM7czG0huUsUaQXE37qH9Kzcx7YbGvxQ9m33swc/kH3n/ezxNzF1Ba+5KcxRhHNyckq9XxwcHIzvvvsO33zzDTp27IgtW7bg559/RocOHSrglf5H1EU4sJ4XzsYk6f1D2X86Bo621vD3ctNv6++FA2di9dbt+usS2jaqDRcHG9TxcEXkA9tz8gpw+J9raNe4FrMzN3NbSG5jlZr9eBmyN+I1Lw9zFOHly5c/8l7wsGHDcPnyZeTl5eHcuXPo16+fia/QkKiLsIerI5LSMvTWafILkZaRDW8354faOhi0TUhNh5e7EzxcHVFQVIRb97L0t99Oh5ebE7MzN3NbSG5jlZr99hOyp/KaU9mJemKWSiGHOltjsF6do4GNSqHfVimHOjtPb11mtgY2SgWsFXJk5ehvKz5OnsFxKopUszM3c5eFVHMbS6WUQ/1QvsycJ2TP5jUvL0GQQTBhdrQp+5qLqItwXkEhlAorg/UONipo8gv02+YXQvVQWwfb4naagkIoFYYvtfg4hRUbuiSPRLMzN3OXhVRzG6tc2W15zcuL3ycsMil31PBy1x8esVbK4e5sj8RU/aGWlLuGbX2qOyMpLQMpd9Sws1bC2d7GcPtDx7H07MzN3FU5t7FS7qoNhmh93J+Q/f72Cs9iIdfc0oi6CJ+JTUSLet6wt1Hq1nVp7o+s3DxcTUrTbxuThKCmdfXWdW/dAMcv3UB6Vi7iUu6gczM/3TZrpRxBTf1w/NK/zM7czG0huY11JrYM2Zs+kF3Ba24Kcz472lxEXYQvxN1ETMJthI/qhQBfD3RuVheTBnXGqp3HoZBbYcusERjbt3i6+E8HzyK0ZX282q0l6nm7YWzfDgjw9cSG/WcAAD/sPY1x/Z9DcKA/GteugfBRvZCQmo4/L8QxO3Mzt4XkfhKVQo4tM0vJHvpQ9sj72ffxmlekknvCpixSI+p7wgAwZVkEZrwWiuXvD0JWTh7W7z+DTQf/hkohh0JuBYW8+L5HXMpdTFm2AxMHBiGsX0fEJqYh7OutuJ1ePAPw16MX4OJgg6lDg2FvrULUxX8xYcl2CMLjzm6Z2Zmbuaty7idRyK2gsHog+/IdmDjgMdntbTB1yAPZl/KaU9nJBKHyL7tarYaTkxOajvgcVkrryj49EVVF0usE/Udixa8oX4Nza2cgIyOjzI+HfJySmtBq2wTI7R7/nOfHKczOw6n+X1dYrsog+p4wERFZBkv8iJKo7wkTERFVZewJExGRKAgmznCWYk+YRZiIiERBAEyaHCaxW+sAWISJiEgktJBBxidmERERUWVgT5iIiETBEmdHswgTEZEoaAUZZCYUUj62koiIiMqMPWEiIhIFQTBxdrQEp0ezCBMRkShY4j1hDkcTERGZCXvCREQkCpbYE2YRJiIiUeDsaCIiIqo07AkTEZEocHY0ERGRmRQXYVPuCVdgmErCIkxEVYMEfwHrSO1W5lPKa4kTs3hPmIiIyEzYEyYiIlEQYNqAhhQHQ1iEiYhIFDgcTURERJWGPWEiIhIHCxyPZhEmIiJxMHE4GhyOJiIiorJiT5iIiESBT8wiIiIyE86OJiIiokrDIkxEROIgyExfymH48OGQyWS6xc3NDQBw4sQJtG7dGtbW1mjSpAl27dpVka8WAIswERGJRMk9YVOW8oiOjsaiRYtw6dIlXLp0CX/99RdSU1PRs2dPtG/fHlFRURg5ciQGDBiAs2fPVuhr5j1hIiISBzN8Tlir1eLy5csICgpCw4YNdevDw8NRq1YtLF68GAAQGBiI6OhohIeH4+effzYhpD72hImIyGLFxcUhNzcX9evX11t/5MgRDBgwQG/dq6++in379lXo+VmEiYhIFEpmR5uyAIBardZb8vLyHnnO6OhoyGQy+Pn5wdvbG++//z7y8vJw48YN+Pr66rX19/dHeno67t27V2GvmcPRREQkHhXwWV8fHx+9n2fOnIlZs2aV2tbKygrffPMNmjVrhps3b2Lq1KnIy8tDbm4uXFxc9NqW/JydnW2wrbxEX4RdHWwxfVgI2jepg8ycPGw8cBZrfz9ZatuOAb6YMPA5eLs7IzYxDfM2HkB0/E3d9hE9WmNIcCAcbFWIio7HnPWRuJuZw+zMzdwWlFvq2ZdPGoTWDXzw+8nLmLbq0bN1Owb4YsKAB3L/VErurvdzX3z6uStTQkICHB0ddT+rVKpHtu3Vq5fez97e3ujQoQPq1asHjUajty09PR0AYGtrW2FZRT8c/cWY3nCwVWHMgi2Yv+kghndviZe7NDNo5+vpii/f6YPdxy9jRPhGnI5JwNLx/eHubA8A6NcpACN7tsaCzYcwesFmqJRyLHy3L7MzN3NbWG4pZ7eqJkP4+v3YdPDvx7bz9XTFl2P6YPeJyxgx937ucQ/k7hiAkT1aY8GW+7kVciwMe7rXvCwqajja0dFRb3lcEX5Yw4YNUVBQAA8PD1y/fl1v29WrV+Hk5ARXV9cKe82iLsJN/TwR4OeJqSt24nxcCg6cicXCLX/gzV5tIXvo42BDQ1rgWHQ81uw+gZjEVCzaegRXElMxNCQQADC8eyusiIjC3lMxuBB3E1OXR8DXwxUdA3xLObPlZmdu5q7KuaWevUgrIP7WPaRn5T623dDgh3Jvu587+IHcO+/njr+JqSuebu4yEypgMcJPP/2EoKAgCA98tikyMhIODg7o3r07duzYYdA+NDS0PK/skURdhAPreeFsTJLeG27/6Rg42lrD38tNv62/Fw6cidVbt+uvS2jbqDZcHGxQx8MVkQ9sz8krwOF/rqFd41rMztzMbSG5pZ69rErNfbwMuRuZN3dlCwkJwaVLlzB69GicOnUKP/zwA9566y1Mnz4db7zxBi5cuIAPPvgAf//9NxYtWoR169Zh2rRpFZpB1EXYw9URSWkZeus0+YVIy8iGt5vzQ20dDNompKbDy90JHq6OKCgqwq17Wfrbb6fDy82J2ZmbuS0kt9Szl1WpuW8/IXeq+XMDsgpYys7d3R27d+/GxYsXERQUhBkzZmDChAmYOnUq3N3dsWfPHhw4cABt27bFihUrsHnzZrRs2bKCXmsxUU/MUinkUGdrDNarczSwUSn02yrlUGfrT0PPzNbARqmAtUKOrBzDKerqnDyD41QUqWZnbuYuC6nmBqSdvaxUSjnUD2XLzHlC7mzz5zbHwzpatWqFP//8s9Rtbdq0walTp0wI9GSi7gnnFRRCqbAyWO9go4Imv0C/bX4hVA+1dbAtbqcpKIRSYfj3RvFxCis2dEkeiWZnbuYuC6nmBqSdvazKldvW/LktkaiLcModNbzc9YdHrJVyuDvbIzFVf6gl5a5hW5/qzkhKy0DKHTXsrJVwtrcx3P7QcSw9O3Mzd1XOLfXsZZVyV20wtOzj/oTc97ebVSVPzBIDURfhM7GJaFHPG/Y2St26Ls39kZWbh6tJafptY5IQ1LSu3rrurRvg+KUbSM/KRVzKHXRu5qfbZq2UI6ipH45f+pfZmZu5LSS31LOX1ZnYMuRu+kBuhThym+tblMxJ1EX4QtxNxCTcRvioXgjw9UDnZnUxaVBnrNp5HAq5FbbMGoGxfTsAAH46eBahLevj1W4tUc/bDWP7dkCAryc27D8DAPhh72mM6/8cggP90bh2DYSP6oWE1HT8eSGO2ZmbuS0kt9SzP4pKIceWmaXkDn0od+T93PvEkfth5voWJXMS9cQsAJiyLAIzXgvF8vcHISsnD+v3n8Gmg39DpZBDIbeCQl583yMu5S6mLNuBiQODENavI2IT0xD29VbcTi+eAfjr0QtwcbDB1KHBsLdWIeriv5iwZPtT/Z8m1ezMzdxVObfUsz+KQm4FhdUDuZfvwMQBj8ltb4OpQx7IvdQ8uS2dTBAq/7Kr1Wo4OTmh6YjPYaW0ruzTExGJi8RGUYvyNTj3/QxkZGToPR6yvEpqgvf/fYJqNuWvCdpcDRLfm1lhuSqD6HvCRERkIUy9r8t7wkRERFRW7AkTEZEoyITixZT9pYZFmIiIxMEMT8wyt3INR//yyy8ICwvT/fzhhx/C2toajRs3xpkzZyosHBERUVVWriI8efJkNG/eHACwYcMGbNu2DUePHkVwcDDefPPNisxHRESWwgIf1lGu4eiMjAw0atQIWVlZ+PDDD7FmzRq0bNkShYWF+P777ys4IhERWQQLHI4uVxF+//338dJLL8He3h59+vTRfcnxV199VeFfeExERFRVlasIT506FYMGDUJBQQEaNWqkW//aa6+hffv2FRaOiIgsiAX2hMt1T9jb2xs//vgjHBwc9Nb36dMHbm5uFRKMiIgsDL9FqWx+/PFHxMbGomHDhujTpw927twJMzz9koiIqhILnJhVriIcEhKCDRs24MaNGwgJCcG0adNQp04dfP7550hJSanojERERFWSSY+tdHV1xbhx4zB79mwoFArMnTsXn332WUVlIyIiC1LyxCxTFqkp9xOzEhISsHLlSqxevRo1atTA5MmTMWzYMIP7xERERGVigROzylWEX331VWzatAmenp7YuHEjgoKCKjoXERFRlVeu4ehVq1Zh5cqV8Pb2xoABAzBlyhTExsZWdDYiIqIqrVxF2NraGq+//jqOHTuGyMhI5OTkoG3btggJCcHmzZsrOiMREVkAGUy8J2zuF1AOFfItSlZWVqhWrRqKiopQWFhYEYckIrIcUruXKbW8IlbuZ0dv2LABq1atQlJSEoYPH46oqCjUq1evovMREZGlMPWzvhL8nHC5inDNmjXRsWNHTJ06FS+99BIUCkVF5yIiIkvD2dFlc/78efj5+VV0FiIiIotSrolZfn5+uHr1KgYMGABnZ2c4OTmhX79+uHLlSkXnIyIiS8FnR5fNlStX0KZNGygUCvzyyy+IiIiAq6sr2rVrh4sXL1Z0RiIisgB8YlYZTZ48GT179sSGDRt065577jlUq1YNU6ZMwc6dOyssIBERWQjeEy6bQ4cOYdeuXQbrX3/9dTz//PMmhyIiIrIE5SrCcrkcBQUFBusLCgogl1fIR4+JiMjSWGBPuFz3hHv27Ikvv/zSYP0333yDnj17mhyKiIgsD+8Jl9EXX3yBjh07IigoCG+++SbkcjnWrVuH6OhoHDt2rKIzEhERVUnl6gl7e3vj5MmTCAwMxFdffYW5c+eiXr16OHnyJLy9vSs6IxERWYKSJ2aZskiMUUX49OnTeP/99/HBBx/gwoULWLRoEc6dO4fz589j8eLFqFGjBj799NOnlZWIiKqySv6ccHp6OkaMGAFHR0d4eXlh8uTJyMvL022vVasWZDKZbhk4cKCJL9BQmYvwr7/+ig4dOuDcuXO4cuUKevXqhUWLFum237lzBz169MDSpUsrPCQREVFFe+211xAbG4uIiAisXLkSERERmDBhAgAgMzMTCQkJiIqKwqVLl3Dp0iUsXry4wjOU+Z7wJ598ghkzZuDjjz8GAGzevBlvvfUWxo0bh6NHj2Lw4MHw9/fH2bNnKzwkERFVfaZOrjJm3+joaOzbtw/x8fHw8PAAAHh6eqJNmzb4+uuvER0dDScnJ7Rr1678gcqgzD3hK1eu6H0GuHfv3sjMzMSkSZMQEhKCV199FZGRkfD09HwqQYmIqIqrxOHoe/fuYdiwYboCDAD169dHYWEhbt++jejoaDRo0KACXtTjlbkIazQaODk56X62sbGBlZUV1q1bh23btmHu3LmwsrJ6KiGJiIgqUqdOnbB69Wq9dREREfDw8EDNmjURHR2N6OhouLi4oFGjRgZtK0qZh6MFQcDRo0cRHx+vt27q1KlQKBTYu3evbn337t0rLKCrgy2mDwtB+yZ1kJmTh40HzmLt7ydLbdsxwBcTBj4Hb3dnxCamYd7GA4iOv6nbPqJHawwJDoSDrQpR0fGYsz4SdzNzKixrVcnO3MxdlXNLObtUc5eZqZ/1vb+vWq3WW61SqaBSqR67a2JiIsaNG4ePPvoIVlZW8PPzw5o1a1CnTh2cOXMGEydOhJOTU4VPzpIJglCml1ynTh3IZE+e/i2TyXD9+vXHtlGr1XByckLTEZ/DSmn92Larp7yMwiItlvxyFO4u9pgxLATLd0Th50P/6LXz9XTFhv+9ipURf+HP83F4vm1DvNTpWQz65AekpmehX6cATBgQhDnr9yP5jhqj+7SHo501RoRvfPKLLyepZmdu5q7KuaWcXSy5i/I1OLd2BjIyMuDo6Gjy6yqpCX7/mwMr68fXhMfm0mhw/bPpButnzpyJWbNmPXK/zMxMdOrUCXXq1MH27dtLrXVffvklIiIicOjQoXLnK02Ze8IP9oArS1M/TwT4eaLHlBVIz8oF4gBblQLv9e+EzYf/wYN/PgwNaYFj0fFYs/sEACAmMRWN63hgaEggFm09guHdW2FFRBT2nooBAExdHoE9899GxwBfHL0Qx+zMzdwWkFvK2aWa2ygV9NjKhIQEvT8OHtcLLiwsxKBBgwAA69ate2Rns2HDhli2bJkJ4UpXrod1VJbAel44G5NU/Ia7b//pGDjaWsPfy02/rb8XDpyJ1Vu3669LaNuoNlwcbFDHwxWRD2zPySvA4X+uoV3jWszO3MxtIbmlnF2quc3B0dFRb3lcEQ4LC8P58+exc+dOODg4AADGjx+PDz74QK9dZGQkGjZsWOFZRV2EPVwdkZSWobdOk1+ItIxseLs5P9TWwaBtQmo6vNyd4OHqiIKiIty6l6W//XY6vNyc8DRINTtzM3dVzi3l7FLNbYzKfnb03LlzsXr1anz11VfIysrC5cuXcfnyZYSEhODrr7/G4sWLcerUKcyePRtLly7F9OmGQ92mEvVXHqkUcqizNQbr1Tka2KgU+m2Vcqiz8/TWZWZrYKNUwFohR1aO/rbi4+QZHKeiSDU7czN3WUg1NyDd7FLNLVY///wzpk+fDkEQMGTIEL1tv/zyC7777jt8+umnmDJlCho0aICff/4ZHTp0qPAcoi7CeQWFUCoMP/bkYKOCJl//qxTz8guheqitg21xO01BIZQKw5dafJzCig1dkkei2ZmbuctCqrkB6WaXam6xevnll/Hyyy8/ts2wYcOeeg5RD0en3FHDy11/eMRaKYe7sz0SU/WHWlLuGrb1qe6MpLQMpNxRw85aCWd7G8PtDx3H0rMzN3NX5dxSzi7V3Eap5GdHi4Goi/CZ2ES0qOcNexulbl2X5v7Iys3D1aQ0/bYxSQhqWldvXffWDXD80g2kZ+UiLuUOOjfz022zVsoR1NQPxy/9y+zMzdwWklvK2aWa2xiW+H3Coi7CF+JuIibhNsJH9UKArwc6N6uLSYM6Y9XO41DIrbBl1giM7Vs8Rv/TwbMIbVkfr3ZriXrebhjbtwMCfD2xYf8ZAMAPe09jXP/nEBzoj8a1ayB8VC8kpKbjz6c0HV+q2Zmbuatybilnl2puejxR3xMGgCnLIjDjtVAsf38QsnLysH7/GWw6+DdUCjkUciso5MX3PeJS7mLKsh2YODAIYf06IjYxDWFfb8Xt9OIZgL8evQAXBxtMHRoMe2sVoi7+iwlLtqNsjyqxrOzMzdxVObeUs0s1t1HEkKESlfmJWRXJmCdmERGRuDytJ2b5T50DK5UJT8zK0+DqvOkVlqsyiHo4moiIqCoT/XA0ERFZhsr8PmGxYBEmIiJxqKBnR0sJizAREYmCJfaEeU+YiIjITNgTJiIiceBwNBERkZlYYBHmcDQREZGZsCdMRESiYIkTs1iEiYhIHDgcTURERJWFPWEiIhIHC+wJswgTEZEoWOI9YQ5HExERmQl7wkREJA4cjiYiIjIPSxyOZhEmIiJxsMCeMO8JExERmQl7wkREJA4W2BNmESYiIlGQ3V9M2V9qOBxNRERkJuwJExGROHA4moiIyDws8SNKHI4mIiIyE/aEiYhIHDgcTUREZEYSLKSm4HA0ERGRmbAnTEREomCJE7NYhImISBx4T5iIiMg8LLEnzHvCRERksW7duoX+/fvDzs4OXl5emDdvXqWenz1hIiISBzMMRw8cOBAKhQKRkZFISkrCmDFjYG9vj7CwMBOClB2LMBERiUJlD0dHRUXhr7/+QnJyMtzd3QEAWVlZ+PDDD/HOO++gWrWnP1jM4WgiIrJIR44cQVBQkK4AA8U943v37uH8+fOVkkH0PWFXB1tMHxaC9k3qIDMnDxsPnMXa30+W2rZjgC8mDHwO3u7OiE1Mw7yNBxAdf1O3fUSP1hgSHAgHWxWiouMxZ30k7mbmMDtzM7cF5ZZydqnmLrNKHo6+ceMGfH199dbZ2dnB09MT169fR7NmzUwIUzai7wl/MaY3HGxVGLNgC+ZvOojh3Vvi5S6GF8bX0xVfvtMHu49fxojwjTgdk4Cl4/vD3dkeANCvUwBG9myNBZsPYfSCzVAp5Vj4bl9mZ27mtrDcUs4u1dxlJlTAAkCtVusteXl5pZ4uNzcXLi4uButdXFyQnZ1dka/skURdhJv6eSLAzxNTV+zE+bgUHDgTi4Vb/sCbvdpC9tC3Nw8NaYFj0fFYs/sEYhJTsWjrEVxJTMXQkEAAwPDurbAiIgp7T8XgQtxNTF0eAV8PV3QM8C3lzJabnbmZuyrnlnJ2qeY2Bx8fHzg5OemW8PDwUtvZ2NhAo9EYrE9PT4etre3TjglA5EU4sJ4XzsYkIT0rV7du/+kYONpaw9/LTb+tvxcOnInVW7frr0to26g2XBxsUMfDFZEPbM/JK8Dhf66hXeNazM7czG0huaWcXaq5jVEyMcuUBQASEhKQkZGhW6ZNm1bq+WrXro3r16/rrcvJyUFycjL8/Pye9ssFIPIi7OHqiKS0DL11mvxCpGVkw9vN+aG2DgZtE1LT4eXuBA9XRxQUFeHWvSz97bfT4eXmxOzMzdwWklvK2aWa2ygVNBzt6Oiot6hUqlJPFxQUhD/++AMZGf9dq+3bt8PJyQnPPvvs03iFBkRdhFUKOTJzDMfy1Tka2KgU+m2Vcqiz9dtmZmtgo1TAWiFHVqnHyTM4TkWRanbmZu6ykGpuQLrZpZpbzNq2bYvmzZtj8ODBOH78OH799VdMmjQJ//vf/2BlZVUpGUQ9OzqvoBBKheGFcLBRQZNfoN82vxCqh9o62Ba30xQUQqkwfKnFxyms2NAleSSanbmZuyykmhuQbnap5jaGTBAgE8o/Pbo8+27ZsgWjR49G165d4ezsjIkTJ+K9994rdwZjibonnHJHDS93/eERa6Uc7s72SEzVH2pJuWvY1qe6M5LSMpByRw07ayWc7W0Mtz90HEvPztzMXZVzSzm7VHMbpYKGo41Ro0YNbN++XXcveOrUqaa/DiOIugifiU1Ei3resLdR6tZ1ae6PrNw8XE1K028bk4SgpnX11nVv3QDHL91AelYu4lLuoHOz/260WyvlCGrqh+OX/mV25mZuC8kt5exSzW2MipqYJSWiLsIX4m4iJuE2wkf1QoCvBzo3q4tJgzpj1c7jUMitsGXWCIzt2wEA8NPBswhtWR+vdmuJet5uGNu3AwJ8PbFh/xkAwA97T2Nc/+cQHOiPxrVrIHxULySkpuPPC3HMztzMbSG5pZxdqrnp8UR9TxgApiyLwIzXQrH8/UHIysnD+v1nsOng31Ap5FDIraCQF9/3iEu5iynLdmDiwCCE9euI2MQ0hH29FbfTi2cA/nr0AlwcbDB1aDDsrVWIuvgvJizZDhNuP1TZ7MzN3FU5t5SzSzV3mZVzSFlvf4mRCULlX3a1Wg0nJyc0HfE5rJTWlX16IiIyQVG+BufWzkBGRgYcHR1NPl5JTWgxxLSaUJSvwZmNFZerMoh6OJqIiKgqE/1wNBERWQgLHI5mESYiIlGo7O8TFgMORxMREZkJe8JERCQOHI4mIiIyHykOKZuCRZiIiMRBEGDSh5XN/kFn4/GeMBERkZmwJ0xERKJgibOjWYSJiEgcLHBiFoejiYiIzIQ9YSIiEgWZtngxZX+pYREmIiJx4HA0ERERVRb2hImISBQ4O5qIiMhc+LAOIiIiqizsCVuIU7O/NXeEcuv89tvmjlAu2R5W5o5AJCkcjiYiIjIXC5wdzSJMRESiYIk9Yd4TJiIiMhP2hImISBwscHY0izAREYkCh6OJiIio0rAnTERE4sDZ0URERObB4WgiIiKqNOwJExGROGiF4sWU/SWGRZiIiMTBAu8JcziaiIjITNgTJiIiUZDBxIlZFZak8rAIExGROFjgE7M4HE1ERKJQ8hElU5aKtmLFCvj5+cHBwQHdunXD5cuX9bZ//PHHkMlkektWVlaZj88iTEREVIqtW7di8uTJ+Oijj7B//37Url0bwcHBSE9P17WJjo7GBx98gEuXLukWOzu7Mp+DRZgqjVYrYNnaDOTnS2/IiIgqgVABSwWaO3cuPvnkE4wcORJt27bFypUrUaNGDWzdulXXJjo6Gu3bt0fDhg11i0xW9rvTor8n7Opgi+nDQtC+SR1k5uRh44GzWPv7yVLbdgzwxYSBz8Hb3RmxiWmYt/EAouNv6raP6NEaQ4ID4WCrQlR0POasj8TdzByLzR4yIAmHjuXi5b722LjMQ7f+xFkNJn2chnMX81DPT4H5H7sh5Dlb3fZDx3IQMiAZABD9Ry00rKcs0/mWrM7AnEX3MKiPPZ5xtQIAJCYX4r3pqdj/Rw6qu1nh7decMCXMGdWqlf1N7FPTBd8tfh0qpRzvz9qME2fiddsWf/4KAp+tZbDP1ogz+HpFpMH66m4OGD8qBIHP+kCdqcHm305h686zem22rB6NGu6Oup8PHb2Cj+b9Vua8DxP7+6Sq5ZZydqnmLiuZIEBmwn1dU/YtTY0aNdC7d+//ji+Twd/fH8nJxb//8vLycPXqVTRo0KDc5xB9T/iLMb3hYKvCmAVbMH/TQQzv3hIvd2lm0M7X0xVfvtMHu49fxojwjTgdk4Cl4/vD3dkeANCvUwBG9myNBZsPYfSCzVAp5Vj4bl+LzV5YKGDpXHeMHemkt/7m7UK8MDQZ7VtZ49AvXhg2wAH9RqQg5lq+rk1DfyWi/zAsbI+TmFyIj+ffwVefuOkKcFGRgL4jkiEA+H1TTYT/7xn83+p0fPlNulHHzsjMxRvj1yL1TqbBts8W7sKwd1brlk8X7ERefiHWbTlu0FapsMJXswaioKAQk2dtwcr1R/D64A54ISRA18bGRoEa7o4YPWWd7phfrzQs5sYQ8/ukKuaWcnap5q5sarVab8nLyyvXcSIiIlCvXj3dz1lZWTh06BBatGgBALhy5QqKiooQEhKCGjVq4I033kBGRoZR5xB1T7ipnycC/DzRY8oKpGflAnGArUqB9/p3wubD/+hNhBsa0gLHouOxZvcJAEBMYioa1/HA0JBALNp6BMO7t8KKiCjsPRUDAJi6PAJ75r+NjgG+OHohzuKyy+UyNKynhJtrNaTdLdKtvxSbj5GDHfHFTDcAQIum1li3JRO7I3NQv25xj9ejuhwe1Y0737gZqWjX0hrDBjjo1u05mIObt4vw52/esLEp/ntQIZdhwkdp+OBdlzIfW52pgTpTg8JCrcG222n6hXnsyM6I2HcOaXcNJ04828gLDvbW+HThLhQVaXExJgW2Nkr06dEMuyIvAAB8a7khM0uDi1dSypzvccT+PqlquaWcXaq5jaK9v5iyPwAfHx+91TNnzsSsWbNMOHCx0aNHw9fXF88//zwAICcnBwsWLECbNm2QnZ2Njz/+GMOGDUNERESZjynqnnBgPS+cjUkqfsPdt/90DBxtreHv5abf1t8LB87E6q3b9dcltG1UGy4ONqjj4YrIB7bn5BXg8D/X0K6xcT26qp69a0dbXQHOytZizUY1oq/kw+0Zq3If87ffs7HvcA6+na9fuXM1AkYOdtQVYACoX1eBm7cLITyFjxrUr1sDrZrVxrrNhr1gALC2ViAvvxBFRf/9FsjOzoOr839D8b613JCQdLfCMkn1fSLV3FLOLtXcxigZjjZlAYCEhARkZGTolmnTppV6vr/++gvOzs6lLmPHjtVrO3v2bOzevRsbNmxAtWrFv7PatWuHiRMnomPHjujevTt+/fVX7N69G/Hx8WV+zaIuwh6ujkhK0+/aa/ILkZaRDW8354faOhi0TUhNh5e7EzxcHVFQVIRb9/R7Pwm30+Hlpj8cy+zFMtRFcPK/jlGTbiO4ky1e6WtfruPk5moxfkYqirRAYMgNdBuUhBuJBQCAgb3t8dm0Z/Ta79yXg+ZNVEZNbCirkYM7IGL/+VJ7wQAQfTkZjg42GDmkA6xVCtTxeQYjh3TE+UtJuja+Pm6oU8sNuza8hx+XvoFe3Z41KZNU3ydSzS3l7FLNbQ6Ojo56i0qlKrVdu3btkJ6eXuryzTff6NqtW7cOn332GX7++Wf4+/s/8rw1atSAi4sLEhMTy5xV1EVYpZAjM8dwLF+do4GNSqHfVimHOlu/bWa2BjZKBawVcmSVepw8g+NUFClnBwAH+2o4uM0Lsz9wxcWYfJw+V757Kv+3OgPqLC2WzXfHr2troqhIwJAxN0tt+090HmZ/dRcfve9qSvRS1fOrjtaBdbC+lHvBJdLVuZj9VQT69wrEvs0T8OPSN+BT0wU//3pK1yb5VjrmLt6D92duxpYdp/Hem13RpUP9cueS6vtEqrkB6WaXam6jiGx2NAAcOnQIb775JpYvX47Q0FDd+qNHj6JRo0bQaDS6df/88w/u3r2L+vXL/jtB1PeE8woKoVQYDoM62KigyS/Qb5tfCNVDbR1si9tpCgqhVBi+1OLjFFZs6JI8Es4OANWqyRDU3gZB7W1Q3d0K736YipN7fZ6840M2/ZqJ8BnPYPjLxbOJt6z2RJ1W8Tj5twatm1vr2iWlFOLF4Sl4Y6gjend79Gfspr7XAz2D/5soNfF/m/B39JP/6hw5pAN27juP1DuP/xB91Knr6Dv8G/jWcsPXn76MA39eQcz127rt2x6YKX0p9iZsrJXo3ysQh47FPDFDaaT6PpFqbkC62aWa2ygie2LW5cuX0b9/fwwcOBDt27fXPajDwcEBrVq1QlFREQYPHoxp06YhOTkZ77//Pt5++21Ur172STOi7gmn3FHDy11/eMRaKYe7sz0SU/WHWlLuGrb1qe6MpLQMpNxRw85aCWd7G8PtqcbNZKvq2XdFZuNavP4/6PatrPHPxbxy3aeNvV6AVs3+GwpydbGCby0F4hP++8eela3Fi8OT0dBfgQWfuJV2GJ3V64/ijfFrdcvlq7eemKGeX3W0aV4H67b8VabMWq2APt2bQpNXgGU/HH5s2xuJd+Du5vDYNo8j1feJVHNLObtUc0vV7du38cILL+DevXvYsGEDGjVqpFvCwsKgUqmwa9cu5OXlITQ0FGPGjEG/fv2waNEio84j6iJ8JjYRLep5w97mv8+hdmnuj6zcPFxNStNvG5OEoKZ19dZ1b90Axy/dQHpWLuJS7qBzMz/dNmulHEFN/XD80r/M/oDf9mRj1hd39Nb9dVqDunUU5bpP61NTrjeUffdeEeJuFKBu7eK/xIuKBAwefROFhcDmVZ6Qyx9/jrS7WYi7kaZbNHkFj20PAK+/0gE79194Yi+4RKN6Huj3fHN8sXQvcnP/O/64t4Lxzuud9dq2bFYbNxLLP1FLqu8TqeaWcnap5jaGmB5bWb16dVy/fh2CIBgs27dvBwD4+/tj9+7dyMzMxK1bt7BgwYJH3n9+FFEX4QtxNxGTcBvho3ohwNcDnZvVxaRBnbFq53Eo5FbYMmsExvbtAAD46eBZhLasj1e7tUQ9bzeM7dsBAb6e2LD/DADgh72nMa7/cwgO9Efj2jUQPqoXElLT8edTmo4v1ezj3nLGL7uyMe//7uHMOQ1Wrc/A1E/vYPr4sn1kaMWPGajTMh7JN4t7uu++5Yzpc+5g/dZMHD2Ri0Fv3UTbFtZo0bR4KPq96an4IyoXX85yQ/LNQlyOzcfl2Hzk5VXMv6a6ddzRtsWje8FvDeuEH5eM1A3zWVWTYUpYD/x+MBonzsbrtf3zxFUM6tMSA3q3QAP/Gnj9lfZ46YVA/Li5bD3s0kj1fSLV3FLOLtXcRikZjjZlkRhR3xMGgCnLIjDjtVAsf38QsnLysH7/GWw6+DdUCjkUciso5MW/PONS7mLKsh2YODAIYf06IjYxDWFfb8Xt9OLez69HL8DFwQZThwbD3lqFqIv/YsKS7U/1/5kUszduoMT2tZ6Y9tkdfP71XfjWUmDRZ+54dWDZhlyLtIAmT4D2/qd8xgx3hCZXi5nz7+BWahGeD7HFN3OL75d8+c09LP9BDQDoOThZ7zin9/mgeYBxf1GWprqbA37afuqRvWArKxmUSjlwv5dvY6PE1bjb+L/VBw3anjl3A+GLd2PEK+0xdmRnJCTdw8z5v+HC5WSDtsaQ4vtEyrmlnF2quctKpi1eTNlfamTC0/hA5hOo1Wo4OTmh6YjPYaW0fvIOZLJTs781d4Ry6/z22+aOUC7ZHuX/bDWRmBXla3Bu7QxkZGTA0dHxyTs8QUlN6NL2f5DLy18TCgs1OHT8swrLVRlE3xMmIiILIbLZ0ZWBRZiIiMTB1M/6Sq8Gi3tiFhERUVXGnjAREYmC2L7KsDKwCBMRkThY4D1hDkcTERGZCXvCREQkDgJM+z5h6XWEWYSJiEgcLPGeMIejiYiIzIQ9YSIiEgcBJk7MqrAklYZFmIiIxMECZ0ezCBMRkThoARj/jan6+0sM7wkTERGZCXvCREQkCpY4O5pFmIiIxMEC7wlzOJqIiMhM2BMmIiJxsMCeMIuwhehRs7m5I5TbjTUSnPII4JljVuaOQCQtFliEORxNRERkJuwJExGROFjg54RZhImISBQs8SNKHI4mIiIyE/aEiYhIHCxwYhaLMBERiYNWAGQmFFItizAREVH5WGBPmPeEiYiIzIQ9YSIiEgkTe8KQXk+YRZiIiMSBw9FERERUWdgTJiIicdAKMGlImbOjiYiIyknQFi+m7C8xHI4mIiIyExZhIiISh5KJWaYsFezAgQOQyWR6S0REBAAgKysLb7zxBhwdHeHm5oYpU6agsLDQqONzOJpK1bRzY2Sn5+DaP/HmjmKyRi7ucFHZ4NjNG+aOQkSPI8J7wtHR0ejSpQu+/fZb3TofHx8AwJgxY3D+/Hns2LEDeXl5eOeddwAAX3zxRZmPL/oi7Opgi+nDQtC+SR1k5uRh44GzWPv7yVLbdgzwxYSBz8Hb3RmxiWmYt/EAouNv6raP6NEaQ4ID4WCrQlR0POasj8TdzBxmf4i1nTWmrn0Pu1bt1yvCgya/iH7vPg9bRxuc3PM3lo5bg4w0tcH+NWq7Y13cN6UeO6z1VMScvo6ATg3x9vzXULuJDxJjUrBiyg/451C0SbmnteyCn6+ew7WMu7p1MgDzOj6Py3dTH1uERzdpgxGNWsJeqcThpDjM/Gsf7ublAgCcVdb4X+tghHjXhaaoEJtjz2PRP0dRVEF/dUv1fSLV3FLOLtXcUhYdHY1mzZqhYcOGeuuTk5OxYcMGnDlzBs2bNwcArFmzBt27d8eMGTPg7OxcpuOLfjj6izG94WCrwpgFWzB/00EM794SL3dpZtDO19MVX77TB7uPX8aI8I04HZOApeP7w93ZHgDQr1MARvZsjQWbD2H0gs1QKeVY+G5fZi/F65++gpzMXGya96tuXa+3QzH4w5fw7aTvMa3nZ7BzssWMnyaWun9a0l280Wi83nJk61/4K+I0Yk5fh0+Dmpizewb+ijiNKcGz8MeWKHwWMQ0+DWqWO3Pr6t4Y1aS14Wtp1BI17Rzx+amDj9x3aP1mGNu0HT49GYnhe3+Go0KFpV3+u77fdumHmrYOGHVgG/4XtRcv1W2Ccc06ljvrw6T6PpFqbilnl2ruMhPhcHR0dDQaNGhgsP7PP/+Er6+vrgADQFBQEGrUqIHDhw+X+fiiLsJN/TwR4OeJqSt24nxcCg6cicXCLX/gzV5tIXvoi5+HhrTAseh4rNl9AjGJqVi09QiuJKZiaEggAGB491ZYERGFvadicCHuJqYuj4Cvhys6Bvgy+wP8A33x4tie+Hr0chQW/Hdvw6WGM74cuRR/bjuOyyeuYs30DQgMDoCdk63BMYoKi5BwJVm35Khz0eaFFvhx9mYAQPCw53By99/YMGcbYk5fx6Z523Fs+0l0G9GlXJntFUosfK4XrKrpv509bB3wfuBzmH0iEhn5mkfu72Zjh/f/3IXd/8bg77QUzDtzGB08a8NRqUItB2e0qeGDMYe249TtJEQmXsP0qN8xtL7hL77ykOr7RKq5pZxdqrmNIsDEIlx8GLVarbfk5eWVO1J0dDRmzpwJFxcXhIaG4vLlywCAGzduwNdX/3rJZDLUrVsX169fL/PxRV2EA+t54WxMEtKzcnXr9p+OgaOtNfy93PTb+nvhwJlYvXW7/rqEto1qw8XBBnU8XBH5wPacvAIc/uca2jWuxez3yWQyTFj2NvasOYDoY1f0tq37dAuidpwCAFSv5YbBH76EnMxc5OfmP/G4g6e9hLOR5xFz6hqA4uHunIeGvbLVOXCp4VSu3LPahuqGjh/0SdtQnL6dhN/iLj12/8X/HMP+hKsAAC87R4x9th2yCvKgKSyErVyBQkGL3MICXfvM/Dy4Whv+8VEeUnyfSDm3lLNLNbdRKqgn7OPjAycnJ90SHh5erjhqtRqjR4/Ghg0bEBERAR8fHwQHB0OtViM3NxcuLi4G+7i4uCA7O7vM5xB1EfZwdURSWobeOk1+IdIysuHt5vxQWweDtgmp6fByd4KHqyMKiopw616W/vbb6fByK98v/qqYvc873dGgtT+6Du6ITckr0e+95w3avDTuBayP/xZdXumAxWNXoiD/8TMBn/F0wfNvhuh6wQBw+ve/ETykE9q/2AoKpRxtng9E6GtBiD565TFHKl2PWvXQq3YDjP9jh976YG8/9KxdHy2qe+GfIeMwpUXQE481slFLHBv0Dvr4NsL/ovYiX1uEaxl3kJabjU/bdYejUgUvO0f8r3UwzqQmGZ21NFJ8n0g5t5SzSzW3OSQkJCAjI0O3TJs2rdR2f/31F5ydnUtdxo4dC0dHR4SHhyM0NBQdO3bEmjVr4Obmhm3btsHGxgYajeEIW3p6Omxty/5HuqgnZqkUcqizDV+kOkcDG5VCv61SDnW2/pBDZrYGNkoFrBVyZOUYDkeoc/IMjlNRpJZdZaPE8Fkv44/NUdi2eBfqtfDFqHmvIik2BSf3/K1rd3Djn0iKTcELo0LRY2Qw/tgc9dhC/MrUfnq9YAA4tfcfrP98Kz7e/D7kiuK3YFrSXRzc+KdRmd1t7BDeoSc+O3UQcep7etumteyKqJs3sPDsn/Cyd8SsNqFIyVZj3ZW/Sz8YgN/iLiFefQ9DGjTDy/WaYmf8FeRrixB26Fcs6dIX54dO0LV9K3KrUVkfRWrvE10WieYGpJtdqrmNotUCMOGBG9rifR0dHeHo6PjE5u3atUN6enqZDy+TyVC/fn0kJiaiQYMGpQ47X7t2DX5+fmU+pqh7wnkFhVAqrAzWO9iooMkv0G+bXwjVQ20dbIvbaQoKoVQY/r1RfBzjPtNVVmLPPmnVO9iT/5NuGTTlReRmaTBn2CJEH72M7f+3G1sXRqBvmH5vOD1VjRO7z2JW/y8gV1jhhbdDH3kOVw9nPP+Wfi+4xIbPt6Gv0wh8+soCaLVafDvxO+SVYWj7QfM7PI+zqclY/1BhbeTiDi97R4w+8AuO30rAtmvRCD99CCMatnzs8e5ocnAw6TrePvAL5NWq6e77/p2Wgk5bluG5rctxLeMODiRcw777w9emEvv75FGkmhuQbnap5jaKiCZmaTQa1K1bFydP/jf7PCcnB3/99RcaNmyITp064cqVK7h69b/fBceOHUNKSgo6d+5c5vOIugin3FHDy11/eMRaKYe7sz0SU/WHWlLuGrb1qe6MpLQMpNxRw85aCWd7G8PtDx3HUrKv/XgTxgRO0S0AEHfuBooKi3RtYk5fR4067rBzskXw0E6QPTT74/KJWNRt/uiJHK9M7Yd/Dkbr9YIfVFhQiCEfvoRj20/ijy1/GZX/1QbNEexTF129/HBt+BRcG178Gvb2fRONXKvjRma63mSs83duwtve8C9jR6UK/fwa46F5Lfg7NQWNXWvoretRqx7cbewxLep3o7I+jtjfJ1Utt5SzSzW3VFlbW6NTp04YMWIE9u7di8OHD+PFF1+Ei4sL+vbtC09PTwwZMgRDhgzBkSNHsH//fowcORLvvfdeqfeKH0XURfhMbCJa1POGvY1St65Lc39k5ebhalKaftuYJAQ1rau3rnvrBjh+6QbSs3IRl3IHnZv9N0RgrZQjqKkfjl/61yKz30m+i/joBN2ScDkZvk1rwUr+31/P9VvVRcq1W8jLyce4b0aheXCA3jEatqmH5KsppR7fpYYzXhgVih8++fmRGfpP6IXqtd2xOGyV0fn/SI5Ht+2r0fO37/D8/QUA3j6wDdcz7qKWgzMclSpd+6bPeODfzHSD4+QWFuCzdt3RwbO23vrm7p6Iz/xviNvLzhETm3fCnFMHcTMn0+i8jyL290lVyy3l7FLNbRQR9YQBYOnSpQgKCsKwYcPQu3dvODo6Yvfu3VAoioftv/32WwQEBKBXr14YPHgw+vTpg7lz5xp1DlEX4QtxNxGTcBvho3ohwNcDnZvVxaRBnbFq53Eo5FbYMmsExvbtAAD46eBZhLasj1e7tUQ9bzeM7dsBAb6e2LD/DADgh72nMa7/cwgO9Efj2jUQPqoXElLT8eeFOGYHEPXbKQgCMPWH99CobT28OLYH+o/vhc1f/YbCgkL8sngXJi4fjfZ9WqFhG39MWD4a3vU9sWtlJADg9U8HY9WFhVDcv6f0ytS+j+0F16jtjuGzXsaySd/j3q10o/PeyExHTHqa3gIA8Zn38HdaCq7cS8Xyri+hVXUv9PNrjA9bdsHyCycAAE1cq+Pky2Ho6uWHAq0W3106jbkdeiLUxx/N3TwR3r4HfB1dsTHmH935PmvXHf+kpeitqwhSe59IPbeUs0s1t1G0gulLBbK3t8eyZcuQmpqKzMxMbNu2Dd7e3nrbv/vuO6jVaqSlpeHLL7/UFeiyEvXELACYsiwCM14LxfL3ByErJw/r95/BpoN/Q6WQQyG3guJ+zy0u5S6mLNuBiQODENavI2IT0xD29VbcTi+eAfjr0QtwcbDB1KHBsLdWIeriv5iwZPtT/Q5oKWXP1+RjarfZGLf0Lczd+xHSb2fgq7e+xfkjxR/vWTd7CwDg3SVvwsbeGhePxWDicx9Bfae4V1jNqhqU1grdkLXKVvXYXrCNvTX2fn8I+34o+4fajfHWgW2Y3bYb1oQMRG5hARb9cxS/XC9+IpcMMqis5LrPFS/6+ygA4NN23WAnV+L07SQM3LUe9+5/7Ekuq4bkHDWWnT/+VLJK6X1SFXJLObtUc9OjyQSh8i+7Wq2Gk5MTmo74HFZK68o+vUV6ZlWUuSOUW8yaVuaOUC7PHDPzTFOip6QoX4Nza2cgIyOjTLOQn6SkJoS4jIC8mvLJOzxCoTYfkffWVliuyiD6njAREVkIwcQhZQl25UV9T5iIiKgqY0+YiIjEQRBg0lcZSrAnzCJMRETioNUCMhOemCWYsK+ZsAgTEZE4WGBPmPeEiYiIzIQ9YSIiEgVBq4VgwnC0wOFoIiKicuJwNBEREVUW9oSJiEgctAIgs6yeMIswERGJgyAAMOUjStIrwhyOJiIiMhP2hImISBQErQDBhOFoM3wfkclYhImISBwELUwbjpbeR5Q4HE1ERGQm7AkTEZEocDi6kpRcqKJ8jTlOb5EKhQJzRyg3ba403ydF+UXmjkD0VJT87q7oolco5Jk0pFwI6f2ekwlm+NMhMTERPj4+lX1aIiKqQAkJCfD29jb5OBqNBr6+vrh586bJx/Lw8EBcXBysra1NPlZlMEsR1mq1SE5OhoODA2QyWWWfnoiITCAIAjIzM1GzZk1Uq1YxU4s0Gg3y8/NNPo5SqZRMAQbMVISJiIiIs6OJiIjMhkWYiIjITFiEiYiIzIRFmCzOpk2b0LVrV7i6usLBwQHNmzfHnDlzkJubW+ZjdOnSBcuWLXuKKYnIErAIk8XQarUYNmwY3nrrLXTq1AkRERE4dOgQxo4di++//x4tW7bE7du3zR2TiCwIn5hFFuPzzz/H7t27cezYMTz77LO69S1btsRrr72GV199FefOnUNoaKgZUxKRJWFPmCxCdnY2vvrqKyxcuFCvAJewsbHB1q1bdQX42LFj6Ny5M2xsbFC9enW88847yMjIKPXYderUwZ49e/TWLVu2DF26dAEAHDp0CB4eHtixYwcaNGgAOzs7DBo0CGq1Grt370ZAQAAcHR0xbNgwZGZm6u1z8uRJdOjQATY2NmjZsiWOHz+uO8fatWvh6ekJDw8PfPPNNxVxmYiokrEIk0U4ceIEcnNz8corrzyx7eHDhxEcHIzAwEAcOHAAq1evxokTJxAcHAyNpnyP0Lx37x4mTZqEL774Anv27MHly5cxcOBAvPfee/j888+xa9cuXLhwAZ988olun4yMDLz44ot48803ceTIEbRp0wYvvvgicnJykJOTg7CwMKxcuRILFy7EH3/8gYIC6T2yj8jScTiaLMLNmzfh5uZWpifpjBs3DpMmTcKcOXN064KDg9G0aVMsX74c48ePN/r8+fn5+P7779GxY0cAwAcffIDhw4fj4MGDuh7z1KlT8cUXX+j20Wg0+L//+z8MHDgQANCsWTNs3boVf/75J9q3bw8rKysEBgbCy8sLQ4YMMToTEZkfe8JkEZ555hncvXv3iY/Fu3PnDs6dO4dRo0bprbezs8OwYcMQGRlZpvNptfoPoVepVGjfvr3uZ09PTygUCnTq1Em3zsPDA6mpqXr79O/fX/ezQqFA3bp1dY98nTZtGpo3b47FixejqIhfFkEkRSzCZBHat28PmUyGX3/99bHtSp7iKpcbDhLJ5fJSvzVGpVIZDAU/fP/Y0dFR7xm7crkcjo6OeuepVq0aCgsLH7lPyblKhsQ//PBD7Nq1C2vXrmVPmEiiWITJIjg4OGDcuHEYP348rl+/brA9Pz8fI0eOxIULFxAQEID169frbc/Ly8NPP/2Erl27Guzr6emJ2NhY3c9arRabNm3Sa1PaQ+5LK/RP2udhrVu3xu+//47NmzcjOTn5ie2JSFx4T5gsxqeffopLly6hVatWmDBhAkJDQ2Fra4tz587hiy++gEajwWeffYZFixahd+/eyMzMRJ8+fXD37l3MmTMHcrkcY8aMMTjuSy+9hHnz5sHf3x/Ozs748ssvkZycDGdn56f2Wk6dOoXp06fj448/xuHDh+Ho6IhnnnnmqZ2PiJ4OFmGyGAqFAr/88gu+//57rF69Gl988QWKiorg5+eHQYMGYfLkybCzs4OXlxd+//13TJ8+HV999RXs7e3Rr18/zJ8/H7a2tgbHfffdd5GUlIQRI0ZALpfjzTffRLdu3bB169an9loaN26MmjVromfPnvDw8MCmTZugUqme2vmI6OngVxkSERGZCe8JExERmQmLMBERkZmwCBMREZkJizAREZGZsAgTERGZCYswERGRmbAIExERmQmLMBERkZmwCBMREZkJizAREZGZsAgTERGZCYswERGRmfw/0ItiXw4mWmUAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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mdUcBiLgex4sN3OjdvwWrV+yn3+BWrF9zmEP7c185EjhzK5tCJtG8lSdhx8MLqr7ctVuQs4ieyMu7Bhf+jMr9j/g/R36/gr29htp1qxrkPXrwiiztwJ7z+DSrjZOzLR41K8nWp6dlcvzwNV5uXvg7HS293UWlL4HFnFlEEFWp6sCd2HhZmk6XxYMHybi6O+XL60hsbIIsLeZ2PK7uzlSp6kh2dg737srflRR9+yGu7vKHWZTndheVHityjFj0mPeDaiwiiFRqJclJhm+CS0nWYaNR5curICVf3uTkdGxsVKjUSlKSn1SOsmQbTdlttyBnEcdEmRlZqNSGu2JnZ0OGLitf3mxUKoVBPl1GVm45qsKVUxLKaruLSi/lLsZsb84soieKu5OIq5t82KJWK6hYyZ7Y6Ph8eRMMhkpu1V24Ex1P3J1EbLVqHJ1s8613NiinPLe7qIwZyj1azJlFBNGFc1F4edfAVvv4EUqt29cnNVXHjYi7Bnlbtq0nS+vYuRFnT90gMSGNqJv3ZOvVagUt29bj7Kkbot3FZOlBZBHDuauXoom4HsfMwD6sX30IZxctYwK6sOGHIyiUFVi1dhRHQ6+y9puDBP9fGKvWjiIyPI6zYTfw9WtI/UbufB74CwBBG44zcpwfqSk67sYlMeTddsTcfkjYscK93bw8tFuQs4ggApg/I4gPpr7GZyuHkZqsY/vmE+wIOoVKrUChqIBCWQGAqJv3mT89iPcmduad0a8SGR7HtIAN3L+XDMCekHM4OmkZP6U7tlo1Z05GMnvKZkx1DWRZbXdR6CUr9FLxexNjti0NZvvO1qSkJBwdHengM108vLGUZGfrCD2zkMTExBJ5SOKj7/DQRXfsjHh4Y0qynvaNo0usXSXNIo6JBOF5spjhnGC+crAmx4jfa+Mfh29aIogEk5OMPCaSzPyYSAznBMFIoicSTM7Ycz3iPJFQ7uVI1uRIRhwTmeX88WMiiAST02OF3ogjB/HILEGwcKInEkxOHBMJgpGMPyYSwzlBsGiiJxJMTm/kLd7mfnu4CCLB5PRGXvYjZucEwcKJnkgwOUufWBBBJJicHmtxslUQhCcTPZFgcjmSFTlG3M5gzLalQQSRYHLG35Rn3sM5EUSCyekla/RGTCzozXxiQRwTCYKRRE8kmJwYzgmCkfQYNzkgXq0iCBZO9ESCyRl/stW8f+tFEAkmZ/xlP+YdRObdOkEoA0RPJJicpd9PJHoiweQeDeeMWYoiLi4Of39/tFot7u7uLFq06Il59+3bxyuvvIKdnR2vvPIKoaGhRd4/0RMJFqdv374olUoOHDhAdHQ0Y8aMwc7OjnHjxsnynT9/nj59+rBo0SJatWrFiRMn6N27N6dOncLT07PQ9YkgEkzO+JOthd/2+PHjnDhxgpiYGCpXrgxASkoK06ZNY+zYsVhbPy5r3759tG3blvfffx+Al156iR07drBr1y4mTpxY6DrFcE4wuUcv+TJmKawjR47g6+ubF0CQ2zPFx8dz4cIFWd5WrVrxxx9/sGvXLjIzM9m7dy9Hjx7FxcWlSPsneiLB5Ix/xkLht42KiqJ27dqyNK1Wi6urK5GRkTRt2jQvvU2bNowdO5bXXnstL61r16689dZbRWqfCCKhzEhKSpL9rVarUavVsrT09PQCexJnZ2dSU1Nlabt372bFihV8+umn+Pr6sn//fkJDQ0lLS0OlUhW6XSKIBJMz/laI3G09PDxk6XPnzmXevHmyNI1Gg06nMygjISEBW1tbWdr06dOZNWsWU6dOBXKHdykpKUyaNIkffvih0O2zmCByctES8GEPfFrUJTVZR3BQGFvWHyswb/NWnoya0Ak3dxciw+NYsWQ31y7H5K3vP7Q1vfo1R2tvw5mTESxbvIuEh6kFllVe210UJfUY4Vu3bsne2Zq/FwKoWbOmwTR1WloaMTEx1KlTR5b+999/06VLF1lau3btCAgIKFL7LGZiYc6CfmjtbJg6fj0rl+6h76BWvNHnFYN8NWpVYu6nb/H73otMHLmGv/78h4VfDKZiZXsAur/xEv2HtuHr5fv4cPx6VGol8z8bINptBhwcHGRLQUHk6+vL4cOHSUxMzEsLDg7G0dERLy8vWd66dety/vx5WVpYWBjVq1cvUrssoidq0Lg6DRq7M6DnUhIT0uASaDQqRrzvR8j207LX0Pfu34JTJ8LZtO4oABHX43ixgRu9+7dg9Yr99BvcivVrDnNo/2UAAmduZVPIJJq38iTseLhodzGU1HCuMFq0aIG3tzcDBgxg3rx53Llzh8mTJzNr1iwyMzPx8fHB39+fwMBA/vvf/zJp0iQkSaJp06aEhoayePFiNm3aVKT2WURP5OVdgwt/RuX+R/yfI79fwd5eQ+26VQ3yHj14RZZ2YM95fJrVxsnZFo+alWTr09MyOX74Gi83lw8FynO7iyqHx0O64i1Fs3XrVtRqNR07dmTs2LFMmjSJCRMmAJCZmUlmZiYAw4YNY968eXz88ce0bduW9evXs27dOnr37l2k+iyiJ6pS1YE7sfGyNJ0uiwcPknF1dyIyPO5feR2JjU2Q5Y25HY+ruzNVqjqSnZ3DvbvyWaDo2w954UVX0e4yomrVqgQHBxukazQawsPlvfKECRPyAqy4LCKIVGolyUnpBukpyTpsNKp8eRWkJMlnb5KT07GxUaFSK0lJNpzZyS1HWbKNpuy2u6hKczj3PFhEEGVmZKFSG+6KnZ0NGbqsfHmzUakUBvl0GVm55agKV05JKKvtLipxP1EZEHcnEVc3Z1maWq2gYiV7YqPj8+VNwNXdSZbmVt2FO9HxxN1JxFarxtHJNt96Z4NyynO7BTmLCKIL56Lw8q6BrfbxlGfr9vVJTdVxI+KuQd6WbevJ0jp2bsTZUzdITEgj6uY92Xq1WkHLtvU4e+qGaHcxSf+7n6i4i2Tm9xNZxHDu6qVoIq7HMTOwD+tXH8LZRcuYgC5s+OEICmUFVq0dxdHQq6z95iDB/xfGqrWjiAyP42zYDXz9GlK/kTufB/4CQNCG44wc50dqio67cUkMebcdMbcfEnbsumh3MVn6cM4igghg/owgPpj6Gp+tHEZqso7tm0+wI+gUKrUChaICCmUFAKJu3mf+9CDem9iZd0a/SmR4HNMCNnD/XjIAe0LO4eikZfyU7thq1Zw5GcnsKZsx1UM4y2q7i6KoV2IXtL05s5Ikc/iYDSUlJeHo6EgHn+koFDbPuznlQna2jtAzC0lMTJRdXlNcj77D//zRE7Vd8WcJM1KyWNJmZ4m1q6RZTE8kmK/SvCnveRBBJJicpQ/nzDvEBaEMED2RYHLiCaiCYCRLf1OeeYe4IJQBoicSTM7SJxZEEAkmJxl5Fbdk5lcsmHfrBKEMED2RYHIl9aAScyWCSDA5vWTccY3eLC9Me0wEkWByln5nq3m3ThDKANETCSZn6S/5EkEkmJy4YkEQhKcSPZFgcpY+sSCCSDA5PUZe9mPmx0TmHeKCUAaInkgwOcnI2TnxyCyh3LP0q7jFcE4QjCR6IsHkxOycIBjJ0odzIogEk7P0y37Mu58UhDJA9ESCyYnhnCAYydKDSAznBMFIoicSTM7SeyIRRILJWXoQieGcIBhJ9ESCyUkYd67HzB/2I4JIMD1LH85ZTBA5uWgJ+LAHPi3qkpqsIzgojC3rjxWYt3krT0ZN6ISbuwuR4XGsWLKba5dj8tb3H9qaXv2ao7W34czJCJYt3kXCw1TRbqFAFnNMNGdBP7R2Nkwdv56VS/fQd1Ar3ujzikG+GrUqMffTt/h970UmjlzDX3/+w8IvBlOxsj0A3d94if5D2/D18n18OH49KrWS+Z8NEO02wqOeyJjFnFlET9SgcXUaNHZnQM+lJCakwSXQaFSMeN+PkO2nZW/Q7t2/BadOhLNp3VEAIq7H8WIDN3r3b8HqFfvpN7gV69cc5tD+ywAEztzKppBJNG/lSdjxcNHuYrD04ZxF9ERe3jW48GdU7n/E/zny+xXs7TXUrlvVIO/Rg1dkaQf2nMenWW2cnG3xqFlJtj49LZPjh6/xcvM6ot3FZOk9kUUEUZWqDtyJjZel6XRZPHiQjKu7U768jsTGJsjSYm7H4+ruTJWqjmRn53DvbpJsffTth7i6O4t2CwWyiOGcSq0kOSndID0lWYeNRpUvr4KUJJ0sLTk5HRsbFSq1kpRk+brH5ShLttGU3XYXlSRZIRnRmxizbWmwiCDKzMhCpTbcFTs7GzJ0WfnyZqNSKQzy6TKycstRFa6cklBW211U4n6iMiDuTiKubvJhi1qtoGIle2Kj4/PlTTAYKrlVd+FOdDxxdxKx1apxdLLNt97ZoJzy3G5BziKC6MK5KLy8a2CrVeeltW5fn9RUHTci7hrkbdm2niytY+dGnD11g8SENKJu3pOtV6sVtGxbj7Onboh2F1NZmVgIDQ3l3LlzRd7OIoLo6qVoIq7HMTOwD/UbudOqXT3GBHRhww9HUCgrsHrTWIaP7ghA8P+F4ftqQ/oOakkdz6oMH92R+o3c2b75BABBG44zcpwfbTvUp14DN2YG9iHm9kPCjl0X7S6mR8dExixFERcXh7+/P1qtFnd3dxYtWvTMbVJSUhg2bBghISFF3j+LOCYCmD8jiA+mvsZnK4eRmqxj++YT7Ag6hUqtQKGogEJZAYCom/eZPz2I9yZ25p3RrxIZHse0gA3cv5cMwJ6Qczg6aRk/pTu2WjVnTkYye8pm2Tkb0W7z1rdvX5RKJQcOHCA6OpoxY8ZgZ2fHuHHjnrjN7Nmzsbe3Z+rUqUWuz0qSzPNjTkpKwtHRkQ4+01EobJ53c8qF7GwdoWcWkpiYiIODg9HlPfoOX9n+AYp/DVmL3K7UDE77f1Godh0/fhxfX19iYmKoXLkyAOvWrWPatGlER0djbW04+Dp79iwtW7bk4MGDtGnTpsjts4jhnGDeSnM4d+TIEXx9ffMCCHJ7pvj4eC5cuGCQX6/XM3r0aEaMGFGsAAIRRIKFiYqKonbt2rI0rVaLq6srkZGRBvm/+uorTp8+zaZNm6hWrRrLly8vcp0Wc0wkmC/JyBm2Rz1RUpL8igy1Wo1aLR8mpqen4+LiYlCGs7MzqanyK9rT0tKYO3cuffv2JSAggLNnz/Lhhx/ywgsv0L1790K3TwSRYHISGDXB8WhTDw8PWfrcuXOZN2+eLE2j0aDTGV69kZCQgK2t/Dzab7/9hp2dHRs3bkSpVNK2bVvu3LnDihUrRBAJ5kWPFVYlcMXCrVu3ZBML+XshgJo1axIaGipLS0tLIyYmhjp15BfjXr9+nSZNmqBUPr40ysfHhx07dhSpfeKYSCgzHBwcZEtBQeTr68vhw4dJTEzMSwsODsbR0REvLy9ZXg8PD86fP09W1uNLo06fPk3dunWL1C4RRILJlebsXIsWLfD29mbAgAGcPHmSHTt2MHnyZGbNmkVmZiYNGzZk1qxZALzxxhtYWVkxdOhQTpw4wcqVK/niiy+YMmVKkfZPDOcEk9NLVliV4k15W7duZfTo0XTs2BEnJycmTZrEhAkTSE9PJzMzk8zMTCD3+Gn//v28//77dO7cmSpVqrBmzRp8fX2LVJ8IIsHiVK1aleDgYIN0jUZDeLj8Lt+6deuyd+9eo+oTQSSYnCQZOTtnltfUPCaCSDA5S78pT0wsCIKRRE8kmJyl90QiiASTK+3ZudImhnOCYCTREwkmJ2bnBMFIuUFkzDFRCTbGBEQQCSZn6RML4phIEIwkeiLB5CSMe1GXmY/mRBAJpieGc4IgPJXoiQTTs/DxnAgiwfSMHM4hhnOCYNlETySYnLhiQRCMJGbnBEF4KtETCaYnWRk3OWDmPZEIIsHkxDGRIBjLws8TiWMiQTCS6IkEk7P02TkRRELpMPMhmTEsJoicXLQEfNgDnxZ1SU3WERwUxpb1xwrM27yVJ6MmdMLN3YXI8DhWLNnNtcsxeev7D21Nr37N0drbcOZkBMsW7yLhYWqBZZXXdguPWcwx0ZwF/dDa2TB1/HpWLt1D30GteKPPKwb5atSqxNxP3+L3vReZOHINf/35Dwu/GEzFyvYAdH/jJfoPbcPXy/fx4fj1qNRK5n82QLTbCKX99vDSZhE9UYPG1WnQ2J0BPZeSmJAGl0CjUTHifT9Ctp+WTZH27t+CUyfC2bTuKAAR1+N4sYEbvfu3YPWK/fQb3Ir1aw5zaP9lAAJnbmVTyCSat/Ik7Hh4QdWXu3YXmZidM39e3jW48GdU7n/E/zny+xXs7TXUrlvVIO/Rg1dkaQf2nMenWW2cnG3xqFlJtj49LZPjh6/xcnP5C6LKc7sFOYsIoipVHbgTGy9L0+myePAgGVd3p3x5HYmNTZClxdyOx9XdmSpVHcnOzuHeXfm7QaNvP8TV3Vm0u9isSmAxXxYxnFOplSQnpRukpyTrsNGo8uVVkJIkf6dncnI6NjYqVGolKcmG7/vMLUdpkG6sstruIhPDOfOXmZGFSm34e2BnZ0OGLitf3mxUKoVBPl1GVm45qsKVUxLKarsFOYsIorg7ibi6yYctarWCipXsiY2Oz5c3wWCo5FbdhTvR8cTdScRWq8bRyTbfemeDcspzu4tMKoHFjFlEEF04F4WXdw1stY9fhNu6fX1SU3XciLhrkLdl23qytI6dG3H21A0SE9KIunlPtl6tVtCybT3Onroh2l1cj67iNmYxYxZxTHT1UjQR1+OYGdiH9asP4eyiZUxAFzb8cASFsgKr1o7iaOhV1n5zkOD/C2PV2lFEhsdxNuwGvn4Nqd/Inc8DfwEgaMNxRo7zIzVFx924JIa8246Y2w8JO3ZdtLuYxFXcZcT8GUF8MPU1Pls5jNRkHds3n2BH0ClUagUKRQUUygoARN28z/zpQbw3sTPvjH6VyPA4pgVs4P69ZAD2hJzD0UnL+CndsdWqOXMyktlTNpvsiyyr7RYes5Ik8/yYk5KScHR0pIPPdBQKm+fdnHIhO1tH6JmFJCYm4uDgYHR5j77D6l9+hLWm+N+hPl3H7QlzS6xdJc1ieiLBjFn4na0WMbEgCM+T6IkEk7OSchdjtjdnIogE0xNXLBTfzz//zLhx4/L+njZtGjY2NjRs2JCzZ8+asmpBKDUmDaIpU6bg7e0NwMaNG9m+fTt//PEHr776KiNGjDBl1YI5ESdbiy8xMZEGDRqQkpLCtGnT+P777/Hx8SE7O5u1a9easmrBnFj4cM6kQfSf//yH3r17Y2dnx+uvv06nTp0AWLJkSd6/BaGsM2kQTZ06lX79+pGVlUWDBg3y0ocOHUqrVq1MWbVgTiy8JzLpMVH16tVZv3499vb2svTXX3+dSpUqmbJqwZyIq7iLb/369Vy/fp369evz+uuv8+uvv2KmVxkJpmThEwsmDSI/Pz82btxIVFQUfn5+TJ8+nVq1avHJJ58QGxtryqoFodSUymU/Li4uTJw4kfnz56NUKvn0008JDAwsjaoFM/DoigVjFnNm8iC6desWc+bMwcPDg/nz5zNlyhRiYmJYuXKlqasWzEUpHxPFxcXh7++PVqvF3d2dRYsWFWq7lJQUBg8eXLTKMPHs3JAhQ9iyZQuurq5s2rQJX19fU1YnCAD07dsXpVLJgQMHiI6OZsyYMdjZ2cmuninIBx98QERERJHrM2kQrV69mk6dOvHtt9/Sp08fhg8fznvvvccLL7xgymqFcuz48eOcOHGCmJgYKleuDJB3sn/s2LFYWxc8+AoJCWHNmjW0aNGiyHWadDhnY2PD8OHDOXbsGAcOHCAtLY0WLVrg5+dHUFCQKasWzIgVRh4TFaGuI0eO4OvrmxdAkNszxcfHc+HChQK3uXv3LiNHjuSVVwwf31wYpXoVd4UKFbC2tiYnJ4fs7OxCbfPzpi042Jet25669hr6vJtQbkVFRVG7dm1ZmlarxdXVlcjISJo2bWqwzahRo2jatCkDBw7km2++KXKdJr92buPGjaxevZro6GiGDRvG8ePHxXCuvCmhO1uTkuRPeFWr1ajVallaeno6Li4uBkU4OzuTmmr4hozVq1dz9OhRLly4wL59+4rVPJMGkZubG23atGHq1Kn07t0bpdIMnsYplL4SuuzHw8NDljx37lzmzZsnS9NoNOh0hk+DTUhIwNZW/ly+yMhIJk2axA8//ICbm1uxm2fSILpw4QJ16ogHqgsl49atW7IHleTvhQBq1qxJaGioLC0tLY2YmBjZ/8WcnByGDh1KSkoKAwbkvoJGkiT0ej0KhaLQhxtg4omFOnXqEB4eTp8+fXBycsLR0ZFevXpx7do1U1YrmJsSOk/k4OAgWwoKIl9fXw4fPkxiYmJeWnBwMI6Ojnh5eeWlZWVl8c0333DhwgXOnTvHuXPnmD9/Pk2aNOHcuXNF2j2TBtG1a9do3rw5SqWSn3/+mZ07d+Li4kLLli25fPmyKasWzEhpXrHQokULvL29GTBgACdPnmTHjh1MnjyZWbNmkZmZScOGDZk1axY2NjY0btxYtri7u6PRaGjcuHGR9s+kw7kpU6bQrVs3Nm7cmJfWrl07rK2t+e9//8uvv/5qyuoFc1HKt0Js3bqV0aNH07FjR5ycnJg0aRITJkwgPT2dzMxMMjMzjWiMIZMGUWhoKLt27TJIHz58ON27dzdl1UI5VrVqVYKDgw3SNRoN4eFPfmvg8OHDGT58eJHrM2kQKRQKsrIMX+2RlZWFQiEeNFRuiJvyiq9bt258/vnnBumrVq2iW7dupqxaMCOWfhW3SbuDzz77jDZt2uDr68uIESNQKBT89NNPXLp0iWPHCn7NvCCUNSa/PfzUqVO89NJLLFmyhE8//ZQXXniBU6dOUb16dVNWLZgTC7+z1SQ90ZkzZ9i4cSMVKlSgW7duLFu2zCDPxx9/zOzZs01RvWBuxDFR0ezYsYPWrVtz/vx5rl27xmuvvSYLogcPHtC1a1dxU55gMUo8iD766CNmzpzJb7/9xo4dO/jxxx+ZM2cOkiRx9OhRmjZtSkZGBn/++WdJVy2YKUufWCjxILp27ZrsHFDPnj1JTk5m8uTJ+Pn5MWTIEA4cOICrq2tJVy2Yq1K+Pby0lfgxkU6nw9HRMe9vjUZDhQoV+Omnn9i+fTuvvfZaSVcpCM9ViQeRJEn88ccf3Lx5U5Y2depUlEql7J6NLl26lHT1+PWJJvRYOm+9acemr6s9Md+uA6lMnf+AiH+yaNJAxfIFlWn+0uNXIi5eEc+XaxJISNTTpYMtqxZVpmrlkp+HcXLREvBhD3xa1CU1WUdwUBhb1hc8/d+8lSejJnTCzd2FyPA4VizZzbXLMXnr+w9tTa9+zdHa23DmZATLFu8i4aHhPTSlztghWXnriWrUqMH8+fNlaR4eHgYTCVZWVkRGRpZo3dnZEis/rczKHxK5/zDnifkuX8uk74g7zJ7kTHc/LZt+Tqb7wBjOH6yBu6uC1RsSWbQinlWLKlPLQ8lHnz+k19uxHPu1OlZWJTvdOmdBP7Kzc5g6fj0Vq9gT8OFrpKdl8su207J8NWpVYu6nb/HT94cJO3adjl29WPjFYEYN/poH95Lp/sZL9B/ahmWLfyUuNpGhI9sz/7MBTByxpkTbWywWPjtX4kH07x6otCkUVtR/QUUlF+unBtHy1Ql07WDL9IDcOyC9G6s5fS6D5asTWDS7Eku+SmDOZBf6v5n7+OMt31bD46Ub7P49jR5+2hJrb4PG1WnQ2J0BPZeSmJAGl0CjUTHifT9Ctp+Wvfm7d/8WnDoRzqZ1RwGIuB7Hiw3c6N2/BatX7Kff4FasX3OYQ/tzr44PnLmVTSGTaN7Kk7DjT75erFRYeBCVrYcXlJCjJ9Pxf00eDIP62LP/cBp372fzd0SWbL29nTVvdLVj/6G0Em2Hl3cNLvwZlRtA/3Pk9yvY22uoXbeqQd6jB6/I0g7sOY9Ps9o4OdviUbOSbH16WibHD1/j5ebipkhTK5dBFBWdTe0a8lvVPWspifwnm6jb2SgU4OGeb31tJZFRhb/bsTCqVHXgTmy8LE2ny+LBg2Rc3Z3y5XUkNjZBlhZzOx5Xd2eqVHUkOzuHe3flzyCIvv0QV3fnEm1zcYgpbguUrpNwdpLvurOTNalpetJ1Ek4Ohh+Ls6M1aWn6Em2HSq0kOcnweQApyTpsNKp8eRWk5MubnJyOjY0KlVpJSvKTyhHPtTC1chlEGhsrdDr5z1tCoh5bjVXuugzDn76EJD0aTclOKmRmZKFSGx6W2tnZkKHLypc3G5VKYZBPl5GVW46qcOUIJa9cBlHN6oZDs/CbWdSpqaRmdSUpqRL37ssnJsJvZFGnRsn+qsfdScTVTT7cUqsVVKxkT2x0fL68CQZDPLfqLtyJjifuTiK2WjWOTrb51jsblPNcWPjJ1nIZRO1a2rBzn/z8yZbgZPza2VK5UgXqeyoJ+e3x+rQ0PTt/S8XP1zZ/UUa5cC4KL+8a2GofP3Cjdfv6pKbquBFx1yBvy7b1ZGkdOzfi7KkbJCakEXXznmy9Wq2gZdt6nD11o0TbXByWfkxULm4vTU/X06zrLXr3sOPjaRUZ/64TzbrdomkjFX7tbNkakkLYnxmsWZo7IzZ5rDPTA+/j5GCNh7uCwKUP8aylpIdfyQbR1UvRRFyPY2ZgH9avPoSzi5YxAV3Y8MMRFMoKrFo7iqOhV1n7zUGC/y+MVWtHERkex9mwG/j6NaR+I3c+D/wFgKANxxk5zo/UFB1345IY8m47Ym4/JOzY9RJts2CoXAQRQGYWZGbl/qQ1fFFF0OpqfPjRfWZ9+pAmDVTs2exGdbfcj2PEIAfuP8hhwox7JCXr6dzelh0/umJtXfL3tcyfEcQHU1/js5XDSE3WsX3zCXYEnUKlVqBQVEChrABA1M37zJ8exHsTO/PO6FeJDI9jWsAG7t9LBmBPyDkcnbSMn9IdW62aMycjmT1lM2bzYkJzaYcJWElm+v7HpKQkHB0dif+7jngWdynJztYRemYhiYmJsockFtej79Bz6gIqqG2evcET5GToCF80o8TaVdLK1v9OQTBD5WY4Jzw/xk4OiIkFQbDwa+dEEAkmZ+k9kTgmEgQjiZ5IMD0xnBMEI1l4EInhnCAYSfREgslZ+sSCCCLB9MRwThCEpxE9kWB6Ft4TiSASTM7Sj4nEcE4QjCR6IsH0xHBOEIxj6cM5EUSC6Yme6PnqPbA/CkXx74p8HvYGr3/eTSiWpGQ9zvWenU+QM/sgEiyA6IkEwThW/1uM2d6ciSluQTCS6IkE0xPDOUEwjqVPcYvhnCAYSfREgumJ4ZwglAAzDwRjiOGcIBhJ9ESCyVn6xIIIIsH0LPyYSAznBJMr7Zd8xcXF4e/vj1arxd3dnUWLFj0x75EjR2jWrBkajYamTZuyc+fOIu+fCCLB4vTt25eEhAQOHDjA8uXL+fzzz1m5cqVBvqioKLp3707Xrl05fPgww4YNo2/fvhw/frxI9YnhnGB6pTicO378OCdOnCAmJobKlSsDkJKSwrRp0xg7dizW1o/7jS+//BI/Pz8CAwMBaNasGVFRUaxatYpWrVoVuk7REwkmV5rDuSNHjuDr65sXQJDbM8XHx3PhwgVZXrVazZAhQ2Rp9erVIyYmpkj7J3oiocxISkqS/a1Wq1Gr1bK0qKgoateuLUvTarW4uroSGRlJ06ZN89If9UD/tnPnTl5++eUitctieiInFy1zP+3HLwensemXD+g/tPUT8zZv5cl3G8fw66EZfLlmBC82dJOt7z+0NZt++YBfDk5j7qf9cHLRmrr5+PWJpoJrOAPH3Hlqvl0HUvFqH4VtrQhadr9F2J862frFK+LxeOkG9nUi6PNuLHH3sk3Z7MKRSmABPDw8cHR0zFsWLlxoUFV6ejrOzs4G6c7OzqSmphqk/9u3337L8ePH+eCDD4q0exYTRHMW9ENrZ8PU8etZuXQPfQe14o0+rxjkq1GrEnM/fYvf915k4sg1/PXnPyz8YjAVK9sD0P2Nl+g/tA1fL9/Hh+PXo1Irmf/ZAJO2PTtbYuWnlXn/Hcen5rt8LZO+I+4wyN+OYzur0761hu4DY4iOzQ2U1RsSWbQins/nVWL/VnfSdRK93o7lub+Wt4SC6NatWyQmJuYt06dPN6hKo9Gg0+kM0hMSErC1ffLb3w8cOMCECRP47rvvcHd3L9LuWUQQNWhcnQaN3flk1jauXIrm6MGrfPvlbwx6px1W+e7o6t2/BadOhLNp3VEirsexesV+Iq7H0bt/CwD6DW7F+jWHObT/MlcvRRM4cys1alWieStPk7VfobCi/gsqKrk8/etYvjqBrh1smR7ggndjNYtmV8K7kZrlqxMAWPJVAnMmu9D/TXtavGzDlm+rceV6Jrt/TzNZ20uTg4ODbMk/lAOoWbMmkZGRsrS0tDRiYmKoU6dOgeVeunSJPn36MHPmTPr161fkdllEEHl51+DCn1EkJjz+z3Lk9yvY22uoXbeqQd6jB6/I0g7sOY9Ps9o4OdviUbOSbH16WibHD1/j5eYFfwGl6ejJdPxfkw8tB/WxZ//hNO7ez+bviCzZens7a97oasf+Q883iEpzYsHX15fDhw+TmJiYlxYcHIyjoyNeXl4G+e/cucNrr73Gm2++yZw5c4q1fxYRRFWqOnAnNl6WptNl8eBBMq7uTvnyOhIbmyBLi7kdj6u7M1WqOpKdncO9u/ID2OjbD3F1Nxxnl7ao6Gxq11DK0jxrKYn8J5uo29koFODhnm99bSWRUc/5uKiEhnOF0aJFC7y9vRkwYAAnT55kx44dTJ48mVmzZpGZmUnDhg2ZNWsWAKmpqfTs2RNbW1umTJnC1atXuXr1KtevXy/S7lnE7JxKrSQ5Kd0gPSVZh41GlS+vgpQk+Zg5OTkdGxsVKrWSlGTD8XRuOUqD9NKWrpNwdpL/7jk7WZOapiddJ+HkYPib6OxoTVqavrSaaBa2bt3K6NGj6dixI05OTkyaNIkJEyaQnp5OZmYmmZmZ6PV6Bg4cyJkzZwBo0qRJ3vaOjo4kJCQUuj6LCKLMjCxUasNdsbOzIUOXlS9vNiqVwiCfLiMrtxxV4cp5HjQ2Vuh08p/lhEQ9thqr3HUZhj/ZCUl6NJrn+6gPK0nCyojJjaJuW7VqVYKDgw3SNRoN4eHheX//8ssvxW7Tv1nEcC7uTiKubvLhllqtoGIle2Kj4/PlTTAY4rlVd+FOdDxxdxKx1apxdLLNt97ZoJznoWZ1w6FZ+M0s6tRUUrO6kpRUiXv3c+Trb2RRp8Zz7kVLcTj3PFhEEF04F4WXdw1stY9na1q3r09qqo4bEXcN8rZsK39CYcfOjTh76gaJCWlE3bwnW69WK2jZth5nT90w7U4UQruWNuzcJz/XsSU4Gb92tlSuVIH6nkpCfnu8Pi1Nz87fUvHzffLUbmko7QtQS5tFDOeuXoom4nocMwP7sH71IZxdtIwJ6MKGH46gUFZg1dpRHA29ytpvDhL8f2GsWjuKyPA4zobdwNevIfUbufN5YG7XHrThOCPH+ZGaouNuXBJD3m1HzO2HhB0r2sFmSUhP19Os6y1697Dj42kVGf+uE8263aJpIxV+7WzZGpJC2J8ZrFmaOwM5eawz0wPv4+RgjYe7gsClD/GspaSH3/MNIktnEUEEMH9GEB9MfY3PVg4jNVnH9s0n2BF0CpVagUJRAYWyAgBRN+8zf3oQ703szDujXyUyPI5pARu4fy8ZgD0h53B00jJ+SndstWrOnIxk9pTNPK/zlZlZkJmVW3nDF1UEra7Ghx/dZ9anD2nSQMWezW5Ud8v9GkcMcuD+gxwmzLhHUrKezu1t2fGjK9bWz/nxh8YOycy8J7KSnvvp7IIlJSXh6OhIB5/p4lncpST3WdyRJCYm4uDgYHx5//sOXx74CRVUxf8OczJ1nN00s8TaVdIs4phIEJ4nixnOCWbMwodzIogEk7P0B5WI4ZwgGEn0RILpieGcIBjP3IdkxhBBJJieJGHUiTbzPAuTRxwTCYKRRE8kmJylz86JIBJMz8InFsRwThCMJHoiweSs9LmLMdubMxFEgumJ4ZwgCE8jeiLB5MTsnCAYS5xsFQThacy/JzpzGaye/zPfiqKrm/fzbkKxZEtZQOQz8xWVGM4JgrEsfHZOBJFgcpbeE4ljIkEwkuiJBNOz8Nk5EUSCyYnhnCAITyV6IsH0xOycIBhHDOcEQXgq0RMJpqeXchdjtjdjIogE07PwYyIxnBMEI4meSDA5K4ycWCixlpiGCCLB9MQVC4JgHDHFLQjCU4meSDA9MTtXtjTv/hLfXfh//Jq2gS9PLOTFZp5PzT90bj9+0wexJeY7g3WVPSoxd9t/2f7gB9Zd/5I3x3czVbPLbLsLw0qSjF7MmUUFUY0G1Zm7bQq/bzzCxFYz+evQJRbumUlFN5cnbvPbj4dY9PaXBulKtZKFu2eSlZHFjO6fsHb2ZobM7kfX4R1EuwUZixrO9Q7owak959i08GcAIv66yYuv1KV3QA9WT/2pwG3u3LhLlRqVDNIbt3kRO2cti4Z9SU52DlfDwtHYa+gxqjN714aKdheF/n+LMdubMYvqibzaNuDo9pOytAMbjuDTqUmRy7LR2pCZnklOdk5eWmpiGs5VHY1uZ35ltd2FJYZzZUiVGpWIvXFXlhYTfgfXOlWLXNbl43/jUNGeoXP7YWOrpmbD6gyb249Lf1wrqebmKavtFnJZ1HBOpVGREp8iS0uOT8FGqy5yWYn3k1gweBkfrh3HsLlvAZCTo2fhkOUl0tZ/K6vtLjQLn50r00E0efVYugxrn/d3hQrWqGxUsjx2Tlp0aRnFKj9s11neqjaKWo09WPTbHA4HHSP8zxtGtRnKbruLTVyxYL7WzdnC9qU78/6e/8s0XOtU4frZxw8gdPOsxp3IuwVtXih6vZ7uI/3ISMtg9bQNRrX3kbLabqFgZTqIHsQ85EHMw7y/T+89R8uer3B464m8tI7923D2wPli1/FiM09eH9uVWa8tID1FZ1R7Hymr7S4ucdlPGRL85W58+7Wi7+Se1GlSk+EfD6B+ixfY/sWvQO4Jzc3R31LXu1ahyrOuYM2kb0az/8dDnN73l2h3cT0azhmzmDGLCqKoK7eZ3/dzur3rx5cnFuDTuSnTun7M/ejcX30raytUNkqsrQu32xo7GyLO3eTr/6wzZbPLbLsL69Gb8oxZiiIuLg5/f3+0Wi3u7u4sWrToiXl37dpFo0aNsLGxoXnz5oSFhRV9/yTJPMM8KSkJR0dHOvAmijL2QPuyKlvKIpQdJCYm4uDgYHR5ed9hi1koFDbFb1e2jtCTgYVuV7t27VAqlSxYsIDo6GjGjBnDvHnzGDdunCzf5cuXefnll5kzZw49evRg48aNfPfdd1y8eBF3d/dCt69MHxMJZUQpzs4dP36cEydOEBMTQ+XKlQFISUlh2rRpjB07VtabL1u2jG7dujFjxgwAvL29OXXqFMuWLWPx4sWFrtOihnOCmZJKYCmkI0eO4OvrmxdAAH379iU+Pp4LFy4Y5O3Tp48sbciQIfz2229F2j0RREKZkZSUJFsyMgzPo0VFRVG7dm1ZmlarxdXVlcjIyGfm9fT0NMj3LCKIBJMrqWvnPDw8cHR0zFsWLlxoUFd6ejrOzs4G6c7OzqSmpj4zb0H5nkUcEwmmV0LHRLdu3ZJNLKjVhpdFaTQadDrD82IJCQnY2to+M29B+Z5F9ERCmeHg4CBbCgqimjVrGgzH0tLSiImJoU6dOs/MGx4ebpDvWUQQCaYn8fieouIsRejEfH19OXz4MImJiXlpwcHBODo64uXlZZA3JCRElrZ582Y6depUpN0TwznB5Iy9J6go27Zo0QJvb28GDBjAvHnzuHPnDpMnT2bWrFlkZmbi4+ODv78/gYGBTJgwAR8fH5o2bUqnTp0ICgri5MmTfP/990Vqn+iJBIuzdetW1Go1HTt2ZOzYsUyaNIkJEyYAkJmZSWZmJgANGzZk27ZtrFmzhhYtWrBv3z727dtH9erVi1Sf6IkE05MwcmKhaNmrVq1KcHCwQbpGoyE8PFyW1qNHD3r06FH8tiGCSCgN4n4iQTCSHuMeqC0eVCIIlk30RILJlebs3PMggkgwPQs/JhLDOUEwkuiJBNOz8J7I7INI37YJeiPuihQKT5+tg6M7Sr5gCw8iMZwTBCOZfU8kWAALP08kgkgwOUuf4hbDOUEwkuiJBNOz8IkFEUSC6emNfI6wXgSRUN5ZeE8kjokEwUiiJxJKgbEPpTfvnkgEkWB6YjgnCMLTiJ5IMD29kS9tFbNzQrkn6XMXY7Y3Y2I4JwhGEj2RYHoWPrEggkgwPXFMVDY4O2sJ+KAbrzSrTWpKBj9vP8XmzScKzNu8RV1Gj3kVNzdnIiPusnz5Xq5djc1b/1b/FvTq/QparZpTYZF8uXwfiYlpot1CgSzmmGjuPH/s7NT89z8bWbFiH/36t+TNXj4G+WrWrMRH8/twYP8lxr+/lr/++odFiwdQqZIdAD1ff4mBg1rz1ar9TP1wM1qtmtlzeol2G8PC3x5uET1Rw4buNGjoxlt9v8z95b0CGo2KkaM68suOM7LvwL9PM06FRbBxwzEAIiLu8uKLbvj3aca33xzE2VnL4kU7OX7sOgCrvzvIt6tHotWqSU01fDNbeWx3kZXyY4RLm0X0RF5NPDh//pZs6HL40FXs7W2oXaeKPK+XB4cPX5Ol7d9/kZd9cl87uP7Ho3n/EatUdWDg4NakpWWQmZkt2l1coicyf1WqOHAnNkGWptNl8eBBCq6uTkRG3H2ct6ph3ujoeFxdnWRp/n2aMW58ZwAWfrKDrKwc0W6hQBYRRGq1gqQkw1cMpiTr0NgoZWkqlYLkFF2+fOloNCpZ2u8HLnH79kN69vSmW/emHDp0tcT/Q5bVdheZ/tHbuozZ3nxZxHAuIyMblcrw90Brp0aXIR/OZGYa5tXa2aDTZcnSEhLSCDsZwZzZ21AoKvBaz5dEu4vLwodzFhFEcXGJuLo5ydLUagWVKtkTGxNvmDffEMjd3ZnY2AS0WjV+nRphle/JNFeuROPpKT9GKc/tFuQsIojOn79FkyYeaLWPX4Tbpm09UlMyuHHjnjzvX7do1foFWVrHjg05e+YGGRlZBHzQjZdeqiVb36CBO9HR8v/U5bndRSZ6IvN39UoMEeF3mTW7F/UbuNG6zQuMfb8TP/30BwpFBb7/4T3eebc9AME/n6Z9+/r069ecOnWr8M677anfwI1tW0+Rna1n+7ZTTPpPd1q1foH6DdyY9J/uVK/uwq87z4l2F5deMn4xYxYxsQDw0bztTJrcjSX/bzApKTq2BYUR/PNpVCoFCqU1SmXu78U//9xn3tztjBnjx7sjOxAZcZepH27m/v1kIHeqGGBiQFc0GiWXLkUTMPFHkpLSRbuFAllJknn2lUlJSTg6OuLbdjYK8SzuUpGdrePw0Y9JTEzEwcHB6PIefYd+zm+jsFY9e4MntUufyYH4dSXWrpJmMT2RYMYkI4dk5vk7n8cijokE4XkSPZFgepKRt0KYeU8kgkgwPb0erCz39nARRILpWXhPJI6JBMFIoicSTE7S65GMGM5JYjgnlHtiOCcIwtOInkgwPWPfT2TmPZEIIsH0JAmjbsoz8yASwzlBMJLoiQSTk/QSkhHDOTO9RjqPCCLB9CQjn7Fg5lPcYjgnCEYSPZFgcmI495w8+uCys5/z0zvLkUefdUn/p82WMowakmWT9exMz5HZBlFycu5tz8dOLH7OLSl/kpOTcXR0NLoclUpFtWrVOHpnl9FlVatWDZWq+HfHmpLZ3h6u1+uJiYnB3t4eq/zPghJMQpIkkpOTcXNzw9q6ZA6XdTodmZmZRpejUqmwsTHPxwSYbRAJQlkhZucEwUgiiATBSCKIBMFI5S6ItmzZQseOHXFxccHe3h5vb28WLFhAenrhH3LYoUMHvv76axO2UihLyk0Q6fV6Bg8ezMiRI2nbti07d+4kNDSU999/n7Vr1+Lj48Pdu3efXZAg5GO254lK2ieffMLu3bs5duwYXl5eeek+Pj4MHTqUIUOGcP78eTp16vQcWymUReWiJ0pNTWXJkiUsXbpUFkCPaDQatm3blhdAx44do3379mg0GqpUqcLYsWNJTEwssOxatWqxZ88eWdrXX39Nhw4dAAgNDaVatWqEhITw4osvotVq6devH0lJSezevZvGjRvj4ODA4MGD804wP9rm1KlTtG7dGo1Gg4+PDydPnsyrY926dbi6ulKtWjVWrVpVEh+TUEzlIojCwsJIT0+nf//+z8x76NAhXn31VV566SV+//131qxZQ1hYGK+++io6neFb7QojPj6eyZMn89lnn7Fnzx6uXr1K3759mTBhAp988gm7du3i4sWLfPTRR3nbJCYm8sYbbzBixAiOHDlC8+bNeeONN0hLSyMtLY1x48bx3XffsXTpUg4fPkxWlnlfGmPRpHJg48aNkpubW6HyNmnSRJo+fbosLSUlRapTp470xRdfSJIkSe3bt5e++uorSZIkqWbNmtLu3btl+b/66iupffv2kiRJ0sGDByVAOnr0aN76H3/8UQKkgwcP5qVt2LBB8vb2lm0TFBSUtz4zM1OqXLmytHfvXikpKUlycHCQbt++XbgPQDCpctETVaxYkYcPHz7z8pMHDx5w/vx5Ro0aJUvXarUMHjyYAwcOFKo+fb53jKrValq1apX3t6urK0qlkrZt2+alVatWjXv37sm28ff3z/tbqVRSt27dvEuhpk+fjre3N8uXLycnR7zc+HkqF0HUqlUrrKys2LFjx1PzSf+7AkqhMJxvUSgUBV7drFarDYZS+Y+fHBwcZNeiKRQKHBwcZPVYW1uTnZ39xG0e1fVoSDlt2jR27drFunXrGDhw4FP3SzCtchFE9vb2TJw4kYCAACIjIw3WZ2Zm8s4773Dx4kUaN27Mhg0bZOszMjLYvHkzHTt2NNjW1dWV69ev5/2t1+vZsmWLLE9BF3MWFKjP2ia/Zs2asXfvXoKCgoiJiXlmfsE0ys0U98cff8yVK1d45ZVX+OCDD+jUqRO2tracP3+ezz77DJ1OR2BgIMuWLaNnz54kJyfz+uuv8/DhQxYsWIBCoWDMmDEG5fbu3ZtFixbh6emJk5MTn3/+OTExMTg5OZlsX06fPs2MGTOYM2cOhw4dwsHBgYoVK5qsPuHpyk0QKZVKfv75Z9auXcuaNWv47LPPyMnJoU6dOvTr148pU6ag1Wpxd3dn7969zJgxgyVLlmBnZ0evXr1YvHgxtra2BuWOHz+e6Oho3n77bRQKBSNGjKBz585s27bNZPvSsGFD3Nzc6NatG9WqVWPLli2o1epnbyiYhLgVQhCMVC6OiQTBlEQQCYKRRBAJgpFEEAmCkUQQCYKRRBAJgpFEEAmCkUQQCYKRRBAJgpFEEAmCkUQQCYKRRBAJgpH+P0Fl3k4u3ZrQAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "# 计算临时矩阵 (p的逆乘以q)\n",
    "temp = inv(p) @ q  # Python中使用@表示矩阵乘法\n",
    "\n",
    "# ==================== 状态空间模型 ====================\n",
    "# 构建A矩阵 (8x8状态矩阵)\n",
    "A = np.vstack([\n",
    "    np.hstack([np.zeros((4,4)), np.eye(4)]),  # 前4行\n",
    "    temp[:, :8]                                # 后4行\n",
    "])\n",
    "\n",
    "# 构建B矩阵 (8x2控制输入矩阵)\n",
    "B = np.vstack([\n",
    "    np.zeros((4,2)),  # 前4行\n",
    "    temp[:, 8:]       # 后4行\n",
    "])\n",
    "\n",
    "# 构建C矩阵 (4x8输出矩阵) - 假设观测所有位置状态\n",
    "C = np.hstack([np.eye(4), np.zeros((4,4))])\n",
    "\n",
    "# 构建D矩阵 (4x2前馈矩阵) - 通常为零\n",
    "D = np.zeros((4,2))\n",
    "\n",
    "print_a_matrix(A)\n",
    "print_a_matrix(B)\n",
    "print_a_matrix(C)\n",
    "print_a_matrix(D)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "0907cbbf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "# ==================== LQR控制器设计 ====================\n",
    "Ts = 0.01  # 采样时间(s)\n",
    "t = np.arange(0, 7+Ts, Ts)  # 时间向量\n",
    "u = np.zeros((2, len(t)))    # 零输入信号\n",
    "\n",
    "# 连续系统离散化\n",
    "sys_c = ss(A, B, C, D)  # 创建连续状态空间系统\n",
    "sys_d = c2d(sys_c, Ts, method='zoh')  # 离散化\n",
    "G, H = sys_d.A, sys_d.B  # 获取离散状态空间矩阵\n",
    "print_a_matrix(G)\n",
    "print_a_matrix(A)\n",
    "print_a_matrix(H)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "22293697",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x500 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "K 与 data 的差异 (K - data):\n",
      " [[ 0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00\n",
      "  -5.00000000e-03  0.00000000e+00  0.00000000e+00  0.00000000e+00]\n",
      " [ 0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00\n",
      "   0.00000000e+00 -5.00000000e-03  0.00000000e+00  0.00000000e+00]\n",
      " [ 0.00000000e+00  0.00000000e+00 -4.99954622e-03  7.79557268e-04\n",
      "   0.00000000e+00  0.00000000e+00 -5.01930409e-03  2.79545989e-06]\n",
      " [ 0.00000000e+00  0.00000000e+00  2.80894079e-03 -1.82034126e-03\n",
      "   0.00000000e+00  0.00000000e+00  9.99881576e-06 -5.00690027e-03]\n",
      " [ 0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00\n",
      "   0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00]\n",
      " [ 0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00\n",
      "   0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00]\n",
      " [ 0.00000000e+00  0.00000000e+00 -6.83408496e-01  1.32319258e-01\n",
      "   0.00000000e+00  0.00000000e+00 -4.99954622e-03  7.79557268e-04]\n",
      " [ 0.00000000e+00  0.00000000e+00  4.85653327e-01 -2.64211515e-01\n",
      "   0.00000000e+00  0.00000000e+00  2.80894079e-03 -1.82034126e-03]]\n",
      "K 与 data 的最大绝对差值: 0.6834084959228655\n",
      "K 与 data 的均方根误差(RMSE): 0.11113029466872183\n",
      "K 与 data 是否近似相等 (allclose): False\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x500 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "K 与 data 的差异 (K - data):\n",
      " [[-3.75000000e-05  0.00000000e+00]\n",
      " [ 0.00000000e+00 -3.75000000e-05]\n",
      " [ 7.21529762e-06  7.21529762e-06]\n",
      " [-1.68949710e-06 -1.68949710e-06]\n",
      " [-5.00000000e-03  0.00000000e+00]\n",
      " [ 0.00000000e+00 -5.00000000e-03]\n",
      " [ 9.42937560e-04  9.42937560e-04]\n",
      " [-3.78404352e-04 -3.78404352e-04]]\n",
      "K 与 data 的最大绝对差值: 0.005000000000000001\n",
      "K 与 data 的均方根误差(RMSE): 0.001803946446709725\n",
      "K 与 data 是否近似相等 (allclose): False\n"
     ]
    }
   ],
   "source": [
    "from env import BalancingCartEnv\n",
    "env=BalancingCartEnv()\n",
    "#很小的不一样\n",
    "from vis import compare_matrices\n",
    "compare_matrices(env.A_d, G)\n",
    "compare_matrices(env.B_d, H)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "7094cc9a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "系统可控！\n"
     ]
    },
    {
     "data": {
      "image/png": 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SJUto27atubxnz54MGDCAadOmmcuqV69O3rx5zf+uXbu2OfvSpEkTxo0bl2b9PD09mTNnDo0aNWLOnDlMnDiRBg0a0LVr1/+8rgEDBvDqq68SHBxMmTJlAPjkk0+oVasWFStWTHOfs2fPkpiYyIcffkjOnDl54403sLe3/8/z3OnEiRP07duXt956i5kzZ2IwpN4oO3ToQJMmTWjVqhV58uS553GaNGli/vfo0aNJSkri008/zfA5SpQoQYkSJXB1daVEiRIWx71dp06dMBqNHDp0yKJ+b731FkFBQXTs2JGNGzeay4ODg9myZQs1a9YE4JVXXiExMZFZs2bxwQcfZORPJvLIadh9xihDJDbpxIkT5MyZE29vb0aMGME333zDsWPHgFvZoVdffZXSpUtTrFgxiwzSwoULqVu3rkUwdNOkSZPw9PRMVx3u9iV9U8OGDenatSvdunXj4sWLzJkz557HbNmyJQUKFDBnif744w+2b9/OoEGD7rpPuXLlKFu2LI0aNWLnzp04ODiYg43/cnsz0TfffIOTkxOffPKJ1b4tW7akcePG9zze7U6fPs1HH33E4MGDKVGixAM5R2hoKL/99htjx461CtYCAgKYMGECmzZtssgSvfjii+Zg6KZGjRoRHh7+nyP8ROTJp4BIbNKJEycoWrQokPplWrZsWUaPHg3cyg59+OGHABQtWtQiQ3T27Nk0m18AnJycKF68eLrqcDNz9F+aN28OQNmyZe/aVHY7BwcHevfuzeLFi7l69SqffPIJxYoV+8/gy9HRkc2bN/PMM88QFBTE66+/TkxMDAB2dnZpdtIGLKYHOHv2LMWKFcPFxSXNbW9mq9KrX79++Pv78/777z+wc9zsi1W+fPk01z/99NMW2wGUKlXKajsvLy8gdSSfyJPEZDJkeslOFBCJTbo9IDIYDIwcOZKlS5dy+PBhRo8ezWuvvWb+8itatChnzpwhISEBgAIFCnDo0KE0j5uUlHTXUWt3utsX+03R0dH069ePSpUqsXPnTj7//PN0Hfett94CYNSoUaxYsYL+/ftjZ/ffH2VfX1++/PJL/vrrL3bs2EH//v0ByJEjB9evX7fa/urVq1y+fNn8ukCBApw8efKucygdPnw4XXUH+Omnn1i9ejWffPIJbm5uD+QcN48HmDODdzp48CCARafytP7Pbv5tU1JSMnR+kUctM3MQ3VyyEwVEYpNuD4gAWrRoQfny5WnevDkHDhyw6A9SrFgxjEYj//zzDwAdO3Zk06ZNfPPNN1bHfffdd9OdKbhXs9Q777zDtWvX+PHHH+nTpw+DBw9O1/B/Hx8f3njjDaZPn467uzudOnW65z43R1Q9/fTTtGjRgt27dwNQsmRJoqOj2bNnj3lbk8nE+++/b5E5ev3110lMTGTgwIFWI65+/PHHdHeqjo+Pp3///jRq1MjckTqrz3FTgQIFqF27Nh988AEREREW665du8b7779P7dq105WZExHbp07VYnOSkpL4999/LQIiSB2q3bx5c9q1a2fRNHJzuxMnTvDUU0/Rvn171q9fT7t27Vi7di3169cnLi6OFStWcOzYMaumMEdHRwC2bNmCv78/7u7u96zjb7/9xuzZs5kzZw4BAQGMHz+en376ic6dO7Np06Z7BlP9+/fniy++4K233rrn+WbOnMmYMWN47733MBgMzJ071zwMvm7duhQvXpzWrVszbNgwfH19WbBgAYcOHcLb29vib/TZZ5/Ro0cPgoODadu2LR4eHmzevJlvvvmGcuXK3fOaIXVUXkhICH369LGYPiAwMJCnnnoqw+dwdHTk4MGDbN261arvD8DcuXMJCgqiTJky9O7dm6JFi3Ly5Ek+++wzHBwcmDdvXrrqLfIkUqfqjFGGSGzOqVOnSE5OJjAw0KK8WbNmVK1a1Wq0UN68eXF3dzd3rDYYDCxcuJBZs2Zx4MAB3nrrLT788EMCAwP5448/yJUrl8X+AQEBNGrUiHHjxqWrY3RMTAxdunShXr16dO7cGQB3d3fmzJnD5s2b+eyzz+55jNKlS/PSSy/Rp0+fe27boUMHWrZsyciRIxkxYgSvvvoqEyZMAFKbiDZt2kSlSpUYNmwYvXr1wt/fn927d5v7ztz01ltvsXHjRpycnBgyZAi9e/fm/PnzbN269a5zEN0uJCSESZMmATBo0CCaNm1qXr744ov7Oscbb7zBmjVrGDBgQJrnLFKkCH/++Scvv/wys2bNon379syePZtWrVrx559/Urhw4XvWW+RJpT5EGWMwacYxERERmxEVFYWXlxdVv++Pg7vzfR8nOSaBPS9PIzIyMt2ja59kajITERGxQWoyyxgFRCIiIjYos81e2a3JTH2IREREJNtThkhERMQGmTLZZJbdMkQKiERERGyQCcjMsKnsNuJKAZGIiIgNMmLAkInZpjVTtYiIiEg280gyREajkbCwMHLkyJGup26LiIjYKpPJxPXr1wkICLjncwkzdlyNMsuIRxIQhYWF6flBIiIitwkNDbV42HBmGU0GDJqHKN0eSUCUI0cOAKrUfRcHh/9+IvgTzcZ7pDlv2Peoq/DAfX/84KOuwgP3Yp83H3UVHjwb/ywanWz/iysmr/2jrsIDk5IYz5GFY8zfjU+6OnXqsHnzZl599VWWLl1qLt+zZw+9e/fm4MGDFC1alMmTJ/Piiy+a1y9YsIBRo0YRHh5O9erV+fzzzylevDgAycnJvPvuu8ybN4+kpCRat27NtGnT8PDwAODChQv07NmTX375BW9vb/r168fQoUMzVO9HEhDdbCZzcHDBwVEB0ZPKweD4qKvwwHnmsP1udjb9GbzJxj+LRkfbD4jsnWw3ILopq7uQmEyZHGV2H/smJycza9YsPvvsMy5fvmwuv3TpEo0bN6Z9+/Z88cUXbNq0iVatWrFjxw4qVqzIhg0b6N69O9OmTaNKlSpMnTqVBg0aEBwcjLu7OyNHjmTZsmUsWrQIDw8PBg0aRKdOnVixYgUArVu3xtHRkU2bNnHu3Dl69OiBh4cHvXv3TnfdNcpMRETEBj2KPkQODg6UKlWKnDlzWgREc+bMoWDBgkyfPh2AihUrEhwczIQJE1i+fDlTpkyhR48edO/eHYB58+ZRsmRJFixYQNeuXZk+fToLFy7khRdeAGD58uUUK1aMw4cPExkZya5duwgLC8Pf3x+A6Ohohg0bRs+ePdPdL8v2f/6KiIjII7V161ZatWplUda+fXs2bNiAyWRi27ZtFuvt7e1p27YtGzZs4O+//yY5OdkcDAEUKVKEGjVqsGHDBrZu3UpQUJA5GILUjNG1a9c4eDD93R4UEImIiNigmxmizCxZ5cyZMxQpUsSirFixYkRERHD58mViY2PTXB8SEsKZM2cICAjA2dn5ruvv3Nfd3Z28efMSEhKS7jqqyUxERMQGZdUos6ioKItyZ2dnq+DkXuLi4vDx8bEou/k6Pj7e4vXt62NiYtLc9+b6qKgoTCYTvr6+aa6PiYlJdx2VIRIREZG7KlCgAF5eXuZlwoQJGT6Gq6urOfC5KSIiAsAcXKW13s3NLc19M7I+vZQhEhERsUFZNcosNDQUT09Pc3lGs0MAhQoVsmq+OnnyJF5eXvj7++Pu7k5ISAh+fn4W6wMDAylUqBD//vsvRqPRooP0yZMnadmyJUlJSWzevNni2LGxsYSFhREYGJjuOipDJCIiYoNSA6LM9CFKPY6np6fFcj8BUVBQEKtXr7YoW7p0KfXr18dgMFCzZk2L9UajkeXLl1O/fn0qVKiAwWCwCHrOnj3L9u3bqV+/PkFBQfz+++9ERkaa169atQovLy/Kli2b7joqQyQiImKDHqdHd3Tu3JmJEyfyzjvv8Prrr7NlyxYWL17M1q1bARg0aBAtWrSgSJEiVKhQgRkzZhAbG0vHjh1xdHSkX79+dOvWjVmzZuHu7s6QIUNo0aIFTz/9NAAVKlTgtddeY+TIkZw/f55BgwYxfPhw7O3TP3+VAiIRERF5oPz9/Vm3bh29evVi2rRpFCtWjBUrVlCpUiUAGjRowIwZM8wzVT/33HNs3LjRPBP1iBEjiIuLo23bthYzVd/07bff0r17d+rUqYO3tzcDBw6kb9++GaqjwWTKTAvj/YmKisLLy4vqDUfZ9iy5Nj47rvPavY+6Cg/cL2F/P+oqPHC1u3Z71FV48Gz8s5gdHt0RHWC7M1WnJMZzaM77REZGWvTVuV83v2OLLnoXe7f7/45NiY3nnzcmZFm9HnfKEImIiNigx6nJ7EmgTtUiIiKS7SlDJCIiYotMZK652Mabmu+kgEhERMQWZfbxG2oyExEREclelCESERGxQVk1U3V2oYBIRETEBmmUWcaoyUwAKFrEn2fKFXzU1RBJF38/D2o/V/JRV0NsQO1yRcnn5/WoqyGPgScmQ+Tj7UafrnWpVqkI8QnJ/Lz+AAuW7sBoNOGZw4XFs7vi7eXGlBnr+XHt3/95rKaNytOuTTW8Pd0IPhbGtM83cubsVQB+/+mdNPf5YPwqtuw4ntWXZSV/gA/zZnTC2cmBwR+uYM+fpyzWv966Kq2aVsLDw5m9+07z8Yz1XIuITfNYPt5uvN27IVWeKUx0dALfrf6TJd/usdrOYIB3+jUm5PQl9h04k+lrcHB0YHX0Ihwcb729Vnz8I18MWWS1bWC5QjzfshoLRy4HIIevBz2mvEm1Js+QEJfI+vmbWTR6BcYUIwA58/nS59MuPNOgHBEXo/j5iw0sn/QD6Zlf1C/Al9ffb8mnveeYy94Y0YYOI17h6vkIXg24+wSF9VqdY/OOOF5p7sE3s/OYy//4O54hoy6z72ACBfM5MmKIL62beJjXf74wkk8+j+DCpRSeq+rCZxP8KVzAEQCj0cSEadeYvTCS2DgTdZ5zZfo4fwLyONzzvHcaNeUKoz++ZlVetrQTf20qgMFgYP6yKLoMuAhAzKlAXFzS/3to6vjXeKZcQTb9foRRk249b6h0iTwM6NGAwML+hIVHMGveZnb9cesBjo3rlqHj68/h5+NO8NEwpsxYz9kw63oCuLo60bdrXWpWL05SUgprNhxg7pLtGI3W/7f9e9THzdWJzduPpfsa7pePtxt9ut127/nl1r3nTs9WDqRn59oE5PUm5NQlps7ewJHj59M8btEi/gTVKMG8r7c/6Euw0rNDLX7edJAz565alNvZGRgzpBnvT/wBgPf6vsCLdZ+22n/73pMMHf+9VbmriyP9Otcl6NnU/8OfNx3kq6W3/g8dHeyZ/8mbFMrvx+KVu5m96Pf7voYcrs6807o2dcoXIzYhibV/HOWz1dtJSk6hYtF8DHw5iKJ5/fj34jX+t/J3/jgRanWMXN4ejO3QmAnLf+XcldTnYBkM0KVRNV6pWR4XJwf2HAtl4opfuRQZY7V/5eL5mTPgFavyhKRkmo6YS8vnytLjpepW64+fu8Qr463vh1nOZMhcx+hsliF6YgKi8cNbcuFSFENGfIubqxO9u9YhKSmFxSt2kZxspM/QJbw/6KV7HqdWjRL06lKb6V9s4vSZKzRtVJ6p416jQ6+viI5JoH2PORbbt3ixIhXLFngowRBA1PU4uvSdzyfjXrVa91LDcrRr8ywff7ae8IuRdHr9OSZ82JIegxaneazR7zYnJcXIwPeW4e+Xg7f7NCQuLonvf/7LYrtWTSuR29+TwR+syJJryF8ygKTEZN4q9/at67oSbbWdo5MDwxb1Y/eafeayD5a/DSYTI1pMIoevB72mdsJkMrFw5HLs7OwY8+MwLp65zLCGY8iZ349en3QEk4llk364Z72GzO1F1FXLemxYuIXwkAt0m/jGXfdLTjYx4yN/ZsyL5PLVFHN5+IVkGrcNY0A3b/432p8jJxLp+c5F8vjb83w1VxYsj2L4R1eYOsaf4oGOTP8yghfahvHXxgK4uNgx9YsIZi2IZOpYfwJy2/PRp9d4qV0Ye9YVwNHRcNfzpqV3J29ebZ7D/Do2zkidlucYPsgXgyH1plbveVfWLw+g4Sth9/xb3c7ezsD/Zq6nZZNn8PJ0NZd7eboyeVQb1v92mCmf/UKl8oUY825zeg35mhMhF6lcoRBv92nEp19s4uiJ87RuXomPx7zCm73mEp+QZHWeIX0aUTCfL8PHfY+TswMDezQgKdnIgqU7LLZ7rmoxqj1ThI595mXoOu7X+A/uuPd0qUNScgqLl++y2K5QAT/GvN+CBd/sYNcfIdSvVZopN6738h3vf0cHez4Y3ISde/95KNdwu3Kl8/Fas8r8vOmg1bo3Wlbj6ZL5zK8/X/w7i1fuNr/29/XgfyPaMHfZDqt9AYb2akSBAF/e+2gVzk4ODHqrPknJKcxfvhMAg52Bdz9aRY/2QZm+jrFvNsbb3ZV+s1fh5uzE2y1r4ersyJLf9jGzd0u++mU3Hy3/lWolC/Jprxa0/Wgxpy9YBuPD2tTl4Olwft5zxFzWvm4lXqlZnknf/saliGg6N6rKZ71a0m7i1yQbjRb7Hzp9nhajLd+Ho99ozOEzF7gYGc3SLX+x7s+j5nUuTo58NeAVvlhr+d55UNSHKGOeiCYzL09XypQKYNrnGzlyPJw/9//L4hW7zCnz2LhEzpy9muZN9k6vt67G3K+3s3bjIY4cD2fSp+u4GhFDrRolADhz9qp5uXApiro1SzF/adof/gch6no8Z85eJTnFaLWubauqzF+ynV+3HuXIsXBGfPQjhQr48WzlQKtty5QKoEypAEZ89COHj4WzZcdxZn71Gx1eq47htqDf38+DLm88z6df/sr16PgsuYbCZfITduI8ocfCzEvk5Sir7TpPaEeRsrea6fIG5qZcUGlGtZ5C8I5j7PrpT6b1/IIXu9UHoHLjCvjk8WZc26kc3nmc31fs5NM+X9Gsd+N71qlF3xeo1LC8Vfn5Uxe5eObyf+7r4GCgVHEncvpafly2740nd057hg/ypWJZZ15vmYPWTTz4fk3ql9/cr6MYOdiXdq1yULWiCws+zU1cnIktO+MAmPjpNT4d70/rJh7UqOLK8i/ycOFSCr/vivvP86Ylp589pYo7mZfNO+IoUtCRVi+5m7cpkM+RooUd73msO6UYTZw5e5XIqDiL8iaNynHhUhTTv9jEiZCLLP1+L5t+P0q7Ns8C8FrLqvy49m9+XLef4/9c4KOpa0lJMdK4Xhmrczg42JGUlMzIST+yP/gse/ed5vuf9hFUo7jFdq4ujgzoUZ/5S3dwLjwiw9eSUeZ7z+yNHDkWzp9/W957btemeSX2/HmKxct3cTLkIrPnbeFEyEVaN6tkte1bHYMILOz/wOt/JzdXJ4b3fxF7e+v3VInAXHR8pYZF2ZVrMZw5d9W81KxWnF1/neLYPxes9ndwsCMxKYURH//I/sNn2fP3ab5b8xe1ni1h3iYxMZkz564SHZuQqesomtePZ0sVYtCXP7Lv5Dm2BZ9i2LyfebnG0zStVoZth08x55c9HD5zgXkb9rJ5/z80rWb5vqtVNpDqTxVi7DebLMo7NajChOW/svGvE+w/Fc6QOT/h5+nGM8Xzcaf4pGROX7hmXlydHCmRz5+5v6Rm4iNi4i3WVylRgHNXItn414lMXX+6mbJgyUaeiIAo6noc/4ZeocOr1XF3cyJXzhw0f6ECUdFx9975DtciYq1+lZ0Lv4afn4fVti1erMi1iBi2bH842aH/4u3lRsH8vhZ1iYtLZNuuk1SuWNhq+3Jl8rP/0FmLL7HN247j4eFicSPu36M+Bw+fY9OWI1bHuF+FyhQg9Nh/ZyHK1y5Ds16N+Ofv0+YyF3dnUpJTSIhNNJfFRMbi7Z/6DB1nVyd+mfcbifG31p89HoZvHu//PFeBkgF0mdCOY3tPZvxi/kOlcs6EhiUzf1kUCQkm9v4dz4+/xODrnfrMpZhYEzk8bn3E7O0NeLgbuHAphegYI2VKOlE/yM283sXFjgIBDoSdT85UveLijEyZGWGRHXoQypfJb5U5Xb85mCo33o9ln8pnsd5oNLHp9yNpvl+Tk41MmLqWs2HXsLMzUKJobl5qWI6ISMvPeJf2NYmOiWfpyofzHD3zvee1e997ypXJz5Y7mvA2/BZsdb0VyxXk5SYVORFiHVQ8aAO61rMKbAGcnBz4YMBLnDx98a77+vm407R+WebdJTuUnGxk/KdrORsekfp/GJiLJvXLEhGZdpN+ZuRwc2bN3qNcibp17H8vXsPR3p6cnm7E3HaPALgen4Cf563PmquzI8Neqcvna3aZm8puloeEX2H30X/NZYnJKVy4dh1/L+vviDv1eKk6q3Ye4mKkdUbc2dGBN+tXfmjZIcm4JyIgMplg5KQfadq4PGuXD+Db+T0pUjAns+dtyfCxho3+zqIPg6uLIxXLFuT4Scubk5OTA6+1rPJQs0P/Jbe/J8nJKVy8fN2i/FzYNQLyWHcIzO3vSfiFSIuy+IQkrl6NJuBGAPFslUCCapTg6dL5+GlpX7p1qJkldS38VAEqNyrP91fnM3vfZJ5tYvkL2c3TjXfm9+Hrsd9aBEShR8O4diGSvjO64O7lRq6COek+5U0O70z9Ut363S7mDf/G4ljPNqlkcYw72TvYM2xRP377ZptF01xWKFLQkYkf5qTLgIu4Ff6HZ184S95cDvTunPr/0bC2K+OmXmN/cAKxsUYmTLvKkRNJ1Kjigoe7Hb+uzG8RMIWeS+LAkQSeKeecqXrNXhBJrpz2FtmhByGXvyfh5y3fY+fCIsjh4YKXpyuuLk6En4+4Y/018/vvbka/25w5097EP2cOZsz51VxetIg/LZs+Q97c3qxe0pchfRvh6PBgH/hpMsHIiTfuPSsG8O2CnhQplJPZc63vPbnS+MydDYuwuF53NyfeG/giC7/ZycmQuwcfD0JQteLUqVGC0VN/tlrX840gTCYTc77Zdtf927esxh8Hz3D0ZNp9om43dkhz5n78Jrn8cvDpvN8yVe+0/P1PGKO+Xm9RFvR0IJcio1n35zFeqFyK2uWK4uhgz/NlitC06lP8/c+tH2k9XqxOXl9PujSswprRXWj4TGoWKy4hia7TVhB7W2tDbm8Pigfk5Gjof/9/lSqQi2olC5mzQ3dqU7McV6/HPrzsELdGmWVmyU6eiD5Ebq5OjHynGXv/Os2y7/filcOV11tXwzPH/T/F96bBfRoRfiGS3X+GWJQ3f6ECkZFxj0V2CMDZ2YHoGOs08/XoeFxcrJtBnJ0diLpu3QR2PTrBvH3PTrX568AZ5n69nTy5POnXvR4XL1/nhzV/Z6quJ/aFsH7hZq6GR1ChThk+WD6IQbVGmDM0fT/rwqXQyyydsIq35/Q075eclMzYV//H+0sHsuraAnP5hy0mpnmewHKFaP9hG8a++r+71uWNEW1w93Zn5oD5tBncNFPXdae/DiYwbMxlhvT2pnljd/7cn8A3318nMsqIt5c9wwf6cjwkiWfq3+rM2byxO8WKOFkdKynJxJt9L9CkgTtlSt5/QBQXZ2TKrAimjfN/oNkhAGcnB6tm1puvnZ0cbrxOuGN9Ai7O/91sN3veFjZvO8brratRr1ZpQhZuBaD7m7U4E3qFGV/9houLI/261aNL++eZPT/jP4zSy83ViZFDm7F3373vPXf7e9z++RzYqwEXL0exeMUuhva/d1NvVvH1dmdIz4Z8Nn8zoXd0aq9cvhDNGpSj+7CvyeGe9j3Vz8edZg3K0Xv40nSdb+bCzfy24xjtXq5K/Zql+eLrrZm+hv+Sy9uDoW3q8MW63ew88i9frtvN5K5NcLRPDZgvRkSz7o/Uvjy5vT1oW6sCy7b8zZq9R6heujDjOr7AP+FX+Cf8isVxHezsGPfmC2w5FGK17k7dX3z2ntmhiSuyPji8p2zW7JUZT0RA9FKDsqQYjQwf+z0pN0YrnA69wszJ7WjTaTaxcYn3OELa3nytBtUqFaH7oEUWncecnBx4vVVVpn2+6e47Z4Gh/RvTqN6tERwD31vG/kPWIyEAEhKScXK0/u/y8HAhIcG6iSUhIRknJ+tfzx4eziQkJFG0iD+5c3nS550lXI+OZz+p1926WaUMBUSD5vSkYYda5tfv1B/NkvErza+P7T2Jf4GcNOvZiMl7TxLUpjrVm1WmR4UhGI3W/aSO7jnJG4G9yRuYm3E/v0fYyfPs/PEPq+38AnwZs3oY6+b+yu6f0878lH62BG3ebsrgOiOJj8ma/lG3G/3xVdq+nIOPhucEoHplV+wdDHQecJFN3+XDzc2Ob7/Ky9VrKUyYfo3PF0by8aicaR6rxzsX+fdsMsu/zJupOn2+MIqcvg8+OwSQkJhsDnxu8vBIDeYSk1I7gTs52Vv07bv5/vsvZ8OucTbsGnv2nWLpnO5s2nKEi5evU/WZIrTvMcec4Y2PT2LMey0eaED0UsOypKSkce+Z0o42HS3vPQmJyTjd8ffI4X7reus8X5LnqhWjc5/5aY5Qe5CG9W7E4eNh/PDLfqv6vdfnBeZ8s52Tpy9RsUyBNPdv37Iaf6YzOwRwNjyCs+ER7P77FMtnvcXGrUcIuUdfvfvl5uzIpz1f5sDpcJZt+RuAOet2s2jTn9QqG8hHnV5i8re/EZ+Uep+sV6E4R0IvMmF5avZx/6lwCuXy4ZWa5c1lNw1/vT55fT0ZPGc1/6Vkfn+qlypMs1Fz01zf5vlyRETHP9TskGTcExEQ5c/ny18HzphvSAD/hl4hJcVIscBcHAg+m+FjNqj9FB1erc47I7+16pzZvHF5IqPiHviQ3q8Wb2P5qltf9nc2P9zu/MVI3Nyc8PJ0tegDkC+vN2FpdC49fzGKiuUsb27Ozg74+XoQdj6S/AE+hJ+PsPhFe+zkefLk9szQNSz4cBkrP/np1nlPWaeVQ4+eo0bzKvjl9aH/zG64ergw//h0IHXUCUDJykV5p8Fo8z7PtaiCbx5v3qk/yup4Lu4ujF09jNAj55g1cH6a9XJxc2bowr44uTjxydYxFucqUbkoHUv0zdB1puVESCLtW/tZlNWs5sKA4ZcwmUzmDE10jJHPF0Yy7l0/ihS0zo6M++QqK3+O4fcf8pHT7/6bgOLjjUyeeY2pYx98dgjgwsUo8t7R/JU/rw/Xo+OJiIwlNi6RgDzeRF2/9SWaL68PYWm8zwvk8yVPLk/2/nXaXBZ1PZ6zYdcoFpgLR0cH4uITLZq7j508j5ur9WciK+XP58tfB9N377lwMYqAPN4Wze/5AnwIOx+Bn68Hg3o3xNXFia+/TJ3ewe7G/1Gp4nkZ+P6yB1J/gBaNKlCjclFSUoxs/vbWyM+F0zphZzBgZ2eg+xtBdH8jCANgb2/H5m/f5tWeX3LhUhS+3u40bVCOPvfIDhUI8CGPvxd79582l0Vdj+ds+DWKF8n1QAIiezsDk7umZn7fn7/WYl1ySgqdG1bltwMn2XBbIFIwlw/BZyy7SBwOvUDVEpb3y66Nq1GvQnE6/W8ZEff4QdXjxer8sPMQFyOss0NODva82aAykx5BdkgTM2bMExEQhZ2PoEbVohZlAXm88fZy49IdfWrSo0LZAgzt35gpM37hz/3/WqxzcrSnbatqTP/iwWaHAC5fibYajns3kVGpnTufq1aMNRtSh8s6OzvwXLVijJ1i3Sdgf3AoHdvWwN3NiZgbnZRrPlucmJgEQk5fwtHRnrx5vPHwcCb6RrNGqWJ50gyu/suVsKtcCbs1l8mHK97mwO+HWfXprZtThbplCT0WRmJCEm/XHmGxf8cxrxF15TpLxt3KKuUqmJMOI19l9tsLuGw1T4odw5cOxN7BntFtPjbPT3Qng52BkS9Psihr2qsReQrnYuaArBmuHVjYkYNHEmh127xDe/5KICC3g0VA0vvdS5Qv42zuW3S7JSuvM+aTq/y4MICypTPXd+iLRanZodZNHnx2CGD/oVCeq1qUpStv9ZmoG1Ta/Jk6EHyWGlWLcfREakBkMKRmSb5PI6PnmcOFMe+1oHXHWeamYQ93Zwrk8+FceAQXL0fh7uZM/gAfc1BUsngeomMSHlgwBBAWnv57z/5DodSoWpTN2279kKoXVIo///6XpKRk+g2z7P/W9Y2aREbFsWjZzgdWf4A9+0/zRn/L9/yiaZ0YPukHoq7Hcf22pvjSxfLQ681a9P1gGZdvTFHR7uWq7EtHdsgzhyvjhjanZdfZ5lFkOdydKRDgw9k7+pJllXdfrUfxgJy0n7zEot8PQLs6z5DX15PeM1dalJ+/dp3aZS1H5j5VMDehl28F6i9ULkX3F56l36xVnAz770CuZH5/qpe+e3ao9Y3s0IZHkR3S0+4z5IkIiNZuPMjrraoysGcD1m06hLeXGz061mLbrhNWnRjvVDwwF5NGtmbi9HXs+iOEgvl9GfteC7ZsP07w0TAK5vcFUofuX74STbMXKhB1/cFnh+7H0pV76NGpFtEx8Vy8dJ0329bgbNg1dv2ROmqu6xvPE1SjBF37LeDIsXBOhFxgxNBmzFuyHT8fd3p3q8PCZTsxGk0cORZOyOlLjH2vBXMWbSNvbi+6d6rFtNkbM1XH3T//Sc+pnYiOiCH0aBj12tWkcqPydCs7iOtXo7l+xzxAMRGxRF6+zvnbRrf0m9GNo3tOsuZL67r0+awL5Wo9xciWk/EL8MEPHyA1M+Xpl4PpO8fz9bjvWPPlRk4HWzY/RlyMJIePB+dOhGfqGm96u4cPTdqH4eNlz/PVXPjrUAJDx1zhg4G+5m1WrI7m121x7NtQADs7y19bv++Mo8vAC/Tv5k3BfA4cPZEauPr62JEr539/NOPijFRpFMrLL3owZpgf8fFGJs24xidjHk52CODnDQd5vXU1enSqxcbNR6hQtgANaz9Fn6FLAFi+ai/jhr9M+IUIToZc5OWXnsHF2ZG1Gw8BqROkdni1Oj0GLyb4aBjHT15g1LDmzP9mO44O9nRu9zxHjocTfDS1M+yvvx9l9LvN+ezLX3F1cWJAj/os/T7tDqxZZe3Gg7zeuioDe92493i60aNT6r3nyrUYFs7qzO87jjNn0Ta+W72POdM68M+pS/zx92nqPF+S0iUD+GjqWqKux1v16YuOiScyKvae97DMCrtLMHJzKP3tvHO4kpJi4tSNbI6vtzvNG5W/a3aoWYNyvNmmOm8NXUzwsTCOhVxgzJBmzFu+AwcHe7q2fY4jJ84TfI9Rp/ejU4MqtKj+NO8vWIubsyOFc6feCy5EROPj7krPl2owftkmi5FoAKt3B9OlUVXeaVOHNXuOUOOpwtQuV5RXb0yU+EyxfIxq35Cvf9tH+LUo83EjY+K5Fh3HmA6NyevrSdepqZPJdn/hv7NDHRtUYfK3j6DvkGTYExEQRV2PZ/CHK+jbrR7TP2pLREQsW3cd58tFdx8RcZPBYMDJyQF7Ozu8vdyYNLI1njlcaVD7KRrUfsq83dadJ3h/3Pe4uTkx9+t7H/dR+Hn9Qby93BjYswFubk7s3Xead0evNPd/srOzS+3DcOML8cMJPzC4TyOmjX+N6JgEVqz6g5Wrb/06f2/M9wzoWZ+JI1sRH5/E/G92sP63w5mq4y/zN+Pu7c6bo17FN483J/86zbBGY9NsSkuLvYM9l85eTnOixTaDm9G0R0MAJq7/wGJdj4pDiLgUhaOzAw6OD3bk0U21argy55NcjJ5ylXfHX6FIAQdGv+NLr063MkEGA0z6wI+SxSw7Uh87mUirLuEkJsKUmRFMmRlhXtevqxefjLn3HDWJSZCYlPqfH3YhhRpVXB5adghSs5ZDRqxgYM+GtG5WiXNhEXz40Q8cvzFHzR9//8snszbSqW0NfH09OHTkHAOHLyMuPvWXvJ2dAScne27GiR9+9AN9u9Vl/PCWJCYls333SYuRpBOnr6V317qMHNoMgJ/WH7CaHDGrRV2PZ/AHK+j71m33np237j0ODvY43Bjp9m/oFT4Y/wO9utSma4eahJy6xNsfLOdSOrPAj6NcOXPwy+bDd80Opd5z7M3B/geTf6R/5zpMePdlEhOT2bb3H2YtzPo+Xg2fKUHfZs9jZ2dgYmfLCXkHfv4DZy5F8MOuYFbvtr6fXYmK5a1pKxjapg4v13ias5cizfsUyuXD/7o1w8nRgY4NqtCxQRXzfl//uo/J323Gwd4O5xv3mJvNnl+tTzsw9/fyYH9I2KPJDgFguLFkZv/sw2BKzzMPslhUVBReXl5UbzgKB8fMjxR7bNl4utF57cOZC+ZR+iXs70ddhQeudte7P7LEZtj4Z9HoZPtfXNEBD+eHzqOQkhjPoTnvExkZiadnxvpxpuXmd2yBWSOxc73/71hjXDyhPUdmWb0ed0/EPEQiIiIiD9IT0WQmIiIiGaRO1RmigEhERMQW6Wn3GaKASERExAbpafcZoz5EIiIiku0pQyQiImKL1IcoQxQQiYiI2CL1IcoQNZmJiIhItqcMkYiIiA0ymFKXzOyfnSggEhERsUXqQ5Qh99Vk9v3339O7d2/z62HDhuHi4sJTTz3Fvn3WT7IWEREReZzdV0A0ePBgKlSoAMCSJUtYuXIl27dvp27dunTp0iUr6yciIiL342an6sws2ch9NZlFRkZSunRpoqOjGTZsGHPnzqVSpUokJyczf/78LK6iiIiIZJiazDLkvgKit99+m5dffhkPDw+aNm1K/fr1Afj444/N/xYRERF5UtxXQDR06FDatGlDUlISpUuXNpe/8cYbVK9ePcsqJyIiIvdJGaIMua8+RPnz52fRokXkyJHDorxp06bkzJkzSyomIiIimWDKgiUbua+AaNGiRZw4cYJSpUrRtGlTfv75Z0zZ7SlwIiIijzN1qs6Q+wqI6tWrx5IlSzhz5gz16tXj3XffpXDhwowbN47w8PCsrqOIiIjIA5WpR3f4+vrSr18/Ro8ejaOjIx999BFjx47NqrqJiIjIfbo5U3VmluzkvmeqDg0N5csvv+Srr74id+7cDB48mHbt2ln1KxIREZFHQJ2qM+S+AqL27duzbNky8ubNyzfffENQUFBW10tERETkobmvJrM5c+bw5Zdfkj9/flq1asWQIUM4ceJEVtdNRERE5KG4r4DIxcWFjh07smPHDjZt2kRsbCzVqlWjXr16rFixIqvrKCIiIhlkIJN9iB71BTxkWfK0e3t7e+zs7EhJSSE5OTn9O9r6PAfZ7d0kTyZb/gzepM+iiNzDfT/LbMmSJcyZM4dz587RoUMHdu7cSfHixbO6fiIiInI/MjuXUDabh+i+AqKAgACee+45hg4dyssvv4yjo2NW10tEREQyQ6PMMuS+AqKDBw8SGBiY1XUREREReSTuq1N1YGAgJ0+epFWrVnh7e+Pl5UWLFi04duxYVtdPRERE7oeeZZYh9xUQHTt2jKpVq+Lo6Mj333/PTz/9hK+vL88++yyHDx/O6jqKiIhIBmmm6oy5ryazwYMH07hxY5YsWWIuq1mzJnZ2dgwZMoSff/45yyooIiIi90F9iDLkvgKizZs3s2bNGqvyjh078sILL2S6UiIiIiIP030FRA4ODiQlJVmVJyUl4eCQJVMbiYiISGYoQ5Qh99WHqHHjxkyZMsWqfObMmTRu3DjTlRIREZHMUR+ijLmvdM7kyZN57rnnCAoKokuXLjg4OLB48WKCg4PZsWNHVtdRRERE5IG6rwxR/vz52bt3LxUrVuTjjz/mo48+onjx4uzdu5f8+fNndR1FREQko27OVJ2ZJRvJUIbozz//ZMmSJdjb29O4cWOmTZtmtc2YMWP44IMPsqyCIiIich/UhyhD0p0h+uGHH6hRowYHDhzg2LFjvPTSSxYB0ZUrV2jUqBEzZsx4IBUVEREReVDSHRCNGjWK999/nw0bNvDDDz+wcOFCPvzwQ0wmE9u2baN8+fIkJCTw119/Pcj6ioiISDqoU3XGpDsgOnbsmMUcQ02aNOH69esMGjSIevXq0b59ezZt2kTevHkfSEVFREQkA/TojgxJdx+i+Ph4vLy8zK9dXV2xt7dn8eLFrFy5kpdeeumBVFBERETkQUt3QGQymdi+fTunT5+2KBs6dCiOjo6sX7/eXN6wYcMsraSIiIhkUGabvZQhSlvBggUZPXq0RVmBAgWsOlEbDAZCQkKypnYiIiJyfzTKLEPSHRDdnhkSERGRx5wCogy5r4kZRURERGyJAqJ0KlrEn2fKFXzU1RCRbMLfz4Paz5V81NWwebXLFSWfn9e9N3wCPYph9x06dMBgMJiXnDlzArBnzx6qVKmCi4sLZcqUYc2aNRb7LViwgMDAQFxdXalbty4nTpwwr0tOTmbIkCHkzJkTLy8vunTpQnR0dKb+Nml54h5Nnz/Ah3kzOuHs5MDgD1ew589TFutfb12VVk0r4eHhzN59p/l4xnquRcSmeSwfbzfe7t2QKs8UJjo6ge9W/8mSb/dYbWcwwDv9GhNy+hL7Dpx5INfl4+1Gn651qVapCPEJyfy8/gALlu7AaDThmcOFxbO74u3lxpQZ6/lx7d//eaymjcrTrk01vD3dCD4WxrTPN3Lm7FUAfv/pnTT3+WD8KrbsOJ4l1+Lg6MDq6EU4ON56e634+Ee+GLLIatvAcoV4vmU1Fo5cDkAOXw96THmTak2eISEukfXzN7No9AqMKUYAcubzpc+nXXimQTkiLkbx8xcbWD7pB0yme39y/QJ8ef39lnzae4657I0Rbegw4hWuno/g1YBud923XqtzbN4RxyvNPfhmdh5z+R9/xzNk1GX2HUygYD5HRgzxpXUTD/P6zxdG8snnEVy4lMJzVV34bII/hQs4AmA0mpgw7RqzF0YSG2eiznOuTB/nT0Aeh3ue906jplxh9MfXrMrLlnbir00FMBgMzF8WRZcBFwGIORWIi0vmfw/5eLvRp9tt79tfbr1v7/Rs5UB6dq5NQF5vQk5dYursDRw5fj7N4xYt4k9QjRLM+3p7puuYXlPHv8Yz5Qqy6fcjjJq02lxeukQeBvRoQGBhf8LCI5g1bzO7/rjVT7Jx3TJ0fP05/HzcCT4axpQZ6zkbZv1/AeDq6kTfrnWpWb04SUkprNlwgLlLtqf59+rfoz5urk5s3n4sy6+1Z4da/LzpIGfOXbUot7MzMGZIM96f+AMA7/V9gRfrPm21//a9Jxk6/nurclcXR/p1rkvQs6nX9/Omg3y19Nb1OTrYM/+TNymU34/FK3cze9Hv930NOVydead1beqUL0ZsQhJr/zjKZ6u3k5ScQsWi+Rj4chBF8/rx78Vr/G/l7/xxItTqGLm8PRjboTETlv/KuSuRQOr9vkujarxSszwuTg7sORbKxBW/cikyxmr/ysXzM2fAK1blCUnJNB0xl5bPlaXHS9Wt1h8/d4lXxlvfD21BcHAw06ZNMw+ucnBw4NKlSzRu3Jj27dvzxRdfsGnTJlq1asWOHTuoWLEiGzZsoHv37kybNo0qVaowdepUGjRoQHBwMO7u7owcOZJly5axaNEiPDw8GDRoEJ06dWLFihVZWvcnLiCKuh5Hl77z+WTcq1brXmpYjnZtnuXjz9YTfjGSTq8/x4QPW9Jj0OI0jzX63eakpBgZ+N4y/P1y8HafhsTFJfH9z5aTS7ZqWonc/p4M/iBr//i3Gz+8JRcuRTFkxLe4uTrRu2sdkpJSWLxiF8nJRvoMXcL7g+49tUGtGiXo1aU207/YxOkzV2jaqDxTx71Gh15fER2TQPsecyy2b/FiRSqWLZBlwRBA/pIBJCUm81a5t81lUVeso3lHJweGLerH7jX7zGUfLH8bTCZGtJhEDl8Pek3thMlkYuHI5djZ2THmx2FcPHOZYQ3HkDO/H70+6QgmE8sm/XDPeg2Z24uoq5b12LBwC+EhF+g28Y277pecbGLGR/7MmBfJ5asp5vLwC8k0bhvGgG7e/G+0P0dOJNLznYvk8bfn+WquLFgexfCPrjB1jD/FAx2Z/mUEL7QN46+NBXBxsWPqFxHMWhDJ1LH+BOS256NPr/FSuzD2rCuAo6PhrudNS+9O3rzaPIf5dWyckTotzzF8kC8GQ+rziOo978r65QE0fCXsnn+r9Br/wR3v2y51SEpOYfHyXRbbFSrgx5j3W7Dgmx3s+iOE+rVKM2XMK7zZay6X73hvODrY88HgJuzc+0+W1fNe7O0M/G/melo2eQYvT1dzuZenK5NHtWH9b4eZ8tkvVCpfiDHvNqfXkK85EXKRyhUK8XafRnz6xSaOnjhP6+aV+PjGdcUnJFmdZ0ifRhTM58vwcd/j5OzAwB4NSEo2smCp5UOxn6tajGrPFKFjn3lZfq3lSufjtWaV+XnTQat1b7SsxtMl85lff774dxav3G1+7e/rwf9GtGHusrQf4j20VyMKBPjy3kercHZyYNBb9UlKTmH+8p0AGOwMvPvRKnq0D8r0dYx9szHe7q70m70KN2cn3m5ZC1dnR5b8to+ZvVvy1S+7+Wj5r1QrWZBPe7Wg7UeLOX3BMlAd1qYuB0+H8/OeI+ay9nUr8UrN8kz69jcuRUTTuVFVPuvVknYTvybZaLTY/9Dp87QYbfl/NPqNxhw+c4GLkdEs3fIX6/48al7n4uTIVwNe4Yu1lp8PW2E0Gjl69ChBQUGUKlXKXD5hwgQKFizI9OnTAahYsSLBwcFMmDCB5cuXM2XKFHr06EH37t0BmDdvHiVLlmTBggV07dqV6dOns3DhQvNciMuXL6dYsWIcPnyYp556Ksvq/8Q1mUVdj+fM2askpxit1rVtVZX5S7bz69ajHDkWzoiPfqRQAT+erRxotW2ZUgGUKRXAiI9+5PCxcLbsOM7Mr36jw2vVMdz2PDt/Pw+6vPE8n375K9ej4x/INXl5ulKmVADTPt/IkePh/Ln/Xxav2GVOl8fGJXLm7NU0b7B3er11NeZ+vZ21Gw9x5Hg4kz5dx9WIGGrVKAHAmbNXzcuFS1HUrVmK+UvTvrndr8Jl8hN24jyhx8LMS+TlKKvtOk9oR5Gyt5oh8wbmplxQaUa1nkLwjmPs+ulPpvX8ghe71QegcuMK+OTxZlzbqRzeeZzfV+zk0z5f0ax343vWqUXfF6jUsLxV+flTF7l45vJ/7uvgYKBUcSdy+lp+XLbvjSd3TnuGD/KlYllnXm+Zg9ZNPPh+TeoX/Nyvoxg52Jd2rXJQtaILCz7NTVyciS074wCY+Ok1Ph3vT+smHtSo4sryL/Jw4VIKv++K+8/zpiWnnz2lijuZl8074ihS0JFWL7mbtymQz5GihR3veaz0Mr9vZ2/kyLFw/vzb8n17uzbNK7Hnz1MsXr6LkyEXmT1vCydCLtK6WSWrbd/qGERgYf8sq2d6pBhNnDl7lcioOIvyJo3KceFSFNO/2MSJkIss/X4vm34/Srs2zwLwWsuq/Lj2b35ct5/j/1zgo6lrSUkx0rheGatzODjYkZSUzMhJP7I/+Cx7953m+5/2EVSjuMV2ri6ODOhRn/lLd3AuPCJLr9PN1Ynh/V/E3t76PVUiMBcdX6lhUXblWgxnzl01LzWrFWfXX6c49s+FNK8vMSmFER//yP7DZ9nz92m+W/MXtZ4tYd4mMTGZM+euEh2bkKnrKJrXj2dLFWLQlz+y7+Q5tgWfYti8n3m5xtM0rVaGbYdPMeeXPRw+c4F5G/ayef8/NK1m+X9Sq2wg1Z8qxNhvNlmUd2pQhQnLf2XjXyfYfyqcIXN+ws/TjWeK5+NO8UnJnL5wzby4OjlSIp8/c39JbWmIiIm3WF+lRAHOXYlk418nrI71QDzkiRlPnTpFXFwcJUqUsCjfunUrrVq1sihr3749GzZsMD/t4vb19vb2tG3blg0bNvD333+TnJxsMTF0kSJFqFGjBhs2bMhYBe/hiQuI7sbby42C+X3Zsv1WpiMuLpFtu05SuWJhq+3LlcnP/kNnLW6Am7cdx8PDxeJm3L9HfQ4ePsemLUesjpFVoq7H8W/oFTq8Wh13Nydy5cxB8xcqEBUdd++d73AtItbql/W58Gv4+XlYbdvixYpci4ix+JtlhUJlChB67L+zEOVrl6FZr0b88/dpc5mLuzMpySkkxCaay2IiY/H29wTA2dWJX+b9RmL8rfVnj4fhm8f7P89VoGQAXSa049jekxm/mP9QqZwzoWHJzF8WRUKCib1/x/PjLzH4etun1j3WRA6PWx8xe3sDHu4GLlxKITrGSJmSTtQPcjOvd3Gxo0CAA2HnkzNVr7g4I1NmRlhkhx4E8/v2tXu/b8uVyc+WO5p+NvwWbPXZrFiuIC83qciJEOsv3EehfJn8VtnT9ZuDqXKj3mWfymex3mg0sen3I2nec5KTjUyYupazYdewszNQomhuXmpYjohIy79Xl/Y1iY6JZ+nKvVl+PQO61rMK+gCcnBz4YMBLnDx98a77+vm407R+WebdJTuUnGxk/KdrORsekXp9gbloUr8sEZFpd1nIjBxuzqzZe5QrUbeO/e/Fazja25PT042Y2+4RANfjE/DzvPVZc3V2ZNgrdfl8zS5zU9nN8pDwK+w++q+5LDE5hQvXruPvZX0PvVOPl6qzauchLkZaZ8SdHR14s37lh5odeth9iIKDgzEYDAQGBpI/f37efvttEhISOHPmDEWKFLHYtlixYkRERHD58mViY2PTXB8SEsKZM2cICAjA2dk5zfVZyWYCotz+niQnp3Dx8nWL8nNh1wjIY91hLre/J+EXIi3K4hOSuHo1moAbX7DPVgkkqEYJni6dj5+W9qVbh5oPpO4mE4yc9CNNG5dn7fIBfDu/J0UK5mT2vC0ZPtaw0d9Z9F9wdXGkYtmCHD9p+QXj5OTAay2rZHl2CKDwUwWo3Kg831+dz+x9k3m2iWUWwM3TjXfm9+Hrsd9aBEShR8O4diGSvjO64O7lRq6COek+5U0O70z9wtn63S7mDf/G4ljPNqlkcYw72TvYM2xRP377ZptF01xWKFLQkYkf5qTLgIu4Ff6HZ184S95cDvTunPp+a1jblXFTr7E/OIHYWCMTpl3lyIkkalRxwcPdjl9X5rcImELPJXHgSALPlHO+2ynTZfaCSHLltLfIDj0IJhOMnHjjfbtiAN8u6EmRQjmZPdf6fZsrjc/b2bAI82cNwN3NifcGvsjCb3ZyMuTuX8wPUy5/T8LPW9b7XFgEOTxc8PJ0xdXFifDzEXesv2ZxXWkZ/W5z5kx7E/+cOZgx51dzedEi/rRs+gx5c3uzeklfhvRthKODfZZcS1C14tSpUYLRU3+2WtfzjSBMJhNzvtl21/3bt6zGHwfPcPRk2v2+bjd2SHPmfvwmufxy8Om83zJV77T8/U8Yo75eb1EW9HQglyKjWffnMV6oXIra5Yri6GDP82WK0LTqU/z9z60faT1erE5eX0+6NKzCmtFdaPhMakYjLiGJrtNWEHtbNj63twfFA3JyNPS/35OlCuSiWslC5uzQndrULMfV67EPLzuUhaKioiyWhIS0M3z29vbMnDmTVatW8dlnn/HTTz/x9ttvExcXh4+Pj8W2N1/Hx8dbvL59fUxMTJr73r4+Kz1xfYjuxtnZgegY6/+k69HxuLhYNxM4OzsQdd26Cex6dIJ5+56davPXgTPM/Xo7eXJ50q97PS5evs4Pa/7O0rq7uTox8p1m7P3rNMu+34tXDldeb10NzxwumT724D6NCL8Qye4/LSPp5i9UIDIyLsuzQwAn9oWwfuFmroZHUKFOGT5YPohBtUaYMzR9P+vCpdDLLJ2wirfn9DTvl5yUzNhX/8f7Swey6toCc/mHLSameZ7AcoVo/2Ebxr76v7vW5Y0RbXD3dmfmgPm0Gdw0i64w1V8HExg25jJDenvTvLE7f+5P4JvvrxMZZcTby57hA305HpLEM/VvdeZs3tidYkWcrI6VlGTizb4XaNLAnTIl7z8gioszMmVWBNPG+T/Q7BDceN8Obcbeffd+3zo7OVg1Od/52RzYqwEXL0exeMUuhva/dzPow3C3et9cl/o64Y71Cbg4/3fT5Ox5W9i87Rivt65GvVqlCVm4FYDub9biTOgVZnz1Gy4ujvTrVo8u7Z9n9vyM/zi6na+3O0N6NuSz+ZsJvaPDd+XyhWjWoBzdh31NDve07zl+Pu40a1CO3sOXput8Mxdu5rcdx2j3clXq1yzNF19vzVT97yWXtwdD29Thi3W72XnkX75ct5vJXZvgaJ8aTF6MiGbdH6l9eXJ7e9C2VgWWbfmbNXuPUL10YcZ1fIF/wq/wT/gVi+M62Nkx7s0X2HIoxGrdnbq/+Ow9s0MTV2R9cHhPWTCXUIECBSxejxgxgpEjR1ptd+cjvPLnz0+NGjUoXry4OfC5KSIiAsCc+YmPj8fd3d1ivZubG66urlb73lzv4XHvrF1GPNYB0dD+jWlU79YIh4HvLWP/IeuRAgAJCck4OVpfjoeHCwkJ1k0QCQnJODlZ//Ly8HAmISGJokX8yZ3Lkz7vLOF6dDz7Sc2qtG5WKcsDopcalCXFaGT42O9JuTEa43ToFWZObkebTrOJjUu8xxHS9uZrNahWqQjdBy3i9kFYTk4OvN6qKtM+33T3ndNp0JyeNOxQy/z6nfqjWTJ+pfn1sb0n8S+Qk2Y9GzF570mC2lSnerPK9KgwBKPRuh/Y0T0neSOwN3kDczPu5/cIO3menT/+YbWdX4AvY1YPY93cX9n9c9qZn9LPlqDN200ZXGck8TFZ3/9r9MdXaftyDj4anjqstHplV+wdDHQecJFN3+XDzc2Ob7/Ky9VrKUyYfo3PF0by8aicaR6rxzsX+fdsMsu/zNzDkT9fGEVO3wefHQJ4qWFZUlLSeN9OaUebjpbv24TEZJycLD+fOdxTP2sAdZ4vyXPVitG5z/w0R1w9KgmJyebA5yYPj9QbeGJSakd3Jyd7i/59N+8h/+Vs2DXOhl1jz75TLJ3TnU1bjnDx8nWqPlOE9j3mmLO88fFJjHmvRaYDomG9G3H4eBg//LLfojyHuzPv9XmBOd9s5+TpS1QsUyDN/du3rMaf6cwOAZwNj+BseAS7/z7F8llvsXHrEULu0Vfvfrk5O/Jpz5c5cDqcZVv+BmDOut0s2vQntcoG8lGnl5j87W/EJ6V+D9SrUJwjoReZsDw1M7f/VDiFcvnwSs3y5rKbhr9en7y+ngyes5r/UjK/P9VLFabZqLlprm/zfDkiouMffnYoiyZmDA0NxdPT01x8Z/PV3ZQqVYqkpCTy5Mlj1bx18uRJvLy88Pf3x93dnZCQEPz8/CzWBwYGUqhQIf7991+MRiN2dnYW61u2bJmJi7P2WAdEXy3exvJVt74M70xd3+78xUjc3Jzw8nS1aCPPl9ebsDQ6Jp6/GEXFcpYffmdnB/x8PQg7H0n+AB/Cz0dY/Do8dvI8eXJ73nmoTMufz5e/Dpwxf6kA/Bt6hZQUI8UCc3Eg+GyGj9mg9lN0eLU674z81qpjZvPG5YmMisuS4bwLPlzGyk9+Mr8+f8o6rRx69Bw1mlfBL68P/Wd2w9XDhfnHU0cbGOxSsxglKxflnQa3Hg3zXIsq+Obx5p36o6yO5+LuwtjVwwg9co5ZA+enWS8XN2eGLuyLk4sTn2wdY3GuEpWL0rFE3/u74NucCEmkfWs/i7Ka1VwYMPwSJpPJnKGJjjHy+cJIxr3rR5GC1pmDcZ9cZeXPMfz+Qz5y+t1/80h8vJHJM68xdeyDzw7BjfftwfS9by9cjCIgj7dF022+AB/Czkfg5+vBoN4NcXVx4usvU6c+sLtR/1LF8zLw/WUP/Fru5sLFKPLe0fyVP68P16PjiYiMJTYukYA83kRdvxUo5MvrQ1ga96oC+XzJk8uTvX+dNpdFXY/nbNg1igXmwtHRgbj4RIsm72Mnz+Pman1fy4gWjSpQo3JRUlKMbP721sjPhdM6YWcwYGdnoPsbQXR/IwgDYG9vx+Zv3+bVnl9y4VIUvt7uNG1Qjj73yA4VCPAhj78Xe/ffcX3h1yheJNcDCYjs7QxM7pqa+X1//lqLdckpKXRuWJXfDpxkw22BSMFcPgSfsexCcDj0AlVLWH4fdG1cjXoVitPpf8uIuMcPqh4vVueHnYe4GGGdHXJysOfNBpWZ9CiyQ1nE09PTIiBKy9KlS5k5cyZbtmwx3382bdpEjhw5aNiwIatXr2bIkCEW29evXx+DwUDNmjVZvXo1VapUAVJHqy1fvpw+ffpQoUIFDAYDmzdvpm7dugCcPXuW7du3M3PmzCy9zsc6ILp8JdpqSO7dREaldvB8rlox1mxIHU7q7OzAc9WKMXaKdZv5/uBQOratgbubEzE3OvHWfLY4MTEJhJy+hKOjPXnzeOPh4Uz0jZR4qWJ50gyuMivsfAQ1qha1KAvI4423lxuX7ugTlR4VyhZgaP/GTJnxC3/u/9dinZOjPW1bVWP6F5nPDgFcCbvKlbBbc5l8uOJtDvx+mFWf3ro5VahbltBjYSQmJPF27REW+3cc8xpRV66zZNytrFKugjnpMPJVZr+9gMtW86TYMXzpQOwd7Bnd5mPz/ER3MtgZGPnyJIuypr0akadwLmYOyJqhzIGFHTl4JIFWt807tOevBAJyO1gEJL3fvUT5Ms7mvkW3W7LyOmM+ucqPCwMoWzpzfYe+WJSaHWrd5MFnhwDCwtP/vt1/KJQaVYuyedutILxeUCn+/PtfkpKS6TfMsm9Y1zdqEhkVx6JlOx/cBaTD/kOhPFe1KEtX3uoXUjeotPlzdSD4LDWqFuPoidSAyGBIzXZ9n0bW0jOHC2Pea0HrjrPMzfse7s4UyOfDufAILl6Owt3NmfwBPuagqGTxPETHJNx3MASwZ/9p3uhv+Z5fNK0Twyf9QNT1OK7f1tWgdLE89HqzFn0/WMblG1NUtHu5KvvSkR3yzOHKuKHNadl1tnkUWQ53ZwoE+HD2jn5WWeXdV+tRPCAn7Scvsej3A9CuzjPk9fWk98yVFuXnr12ndlnLkcdPFcxN6OVbQewLlUvR/YVn6TdrFSfD/juQK5nfn+ql754dan0jO7ThEfQdut/JFW/fP73q1atH37596d69O2+99RaHDx/m7bff5r333qNz585MnDiRd955h9dff50tW7awePFitm5NbUodNGgQLVq0oEiRIlSoUIEZM2YQGxtLx44dcXR0pF+/fnTr1o1Zs2bh7u7OkCFDaNGiBU8/bT1HVmY81gFRRi1duYcenWoRHRPPxUvXebNtDc6GXWPXH6mjrrq+8TxBNUrQtd8CjhwL50TIBUYMbca8Jdvx83Gnd7c6LFy2E6PRxJFj4YScvsTY91owZ9E28ub2onunWkybvTHL671240Feb1WVgT0bsG7TIby93OjRsRbbdp2w6oh6p+KBuZg0sjUTp69j1x8hFMzvy9j3WrBl+3GCj4ZRML8vkDp0//KVaJq9UIGo61mTHUrL7p//pOfUTkRHxBB6NIx67WpSuVF5upUdxPWr0Vy/Yx6gmIhYIi9f5/xto1v6zejG0T0nWfOl9d+6z2ddKFfrKUa2nIxfgA9+pHa2O3/qIp5+OZi+czxfj/uONV9u5HSwZfNqxMVIcvh4cO5EeJZc69s9fGjSPgwfL3uer+bCX4cSGDrmCh8M9DVvs2J1NL9ui2PfhgLY2VlmbX7fGUeXgRfo382bgvkcOHoiNTD39bEjV87//mjGxRmp0iiUl1/0YMwwP+LjjUyacY1Pxjyc7BDceN+2rsrAXjfet55u9OiU+r69ci2GhbM68/uO48xZtI3vVu9jzrQO/HPqEn/8fZo6z5ekdMkAPpq6lqjr8Vb9+aJj4omMir3n+/9B+3nDQV5vXY0enWqxcfMRKpQtQMPaT9Fn6BIAlq/ay7jhLxN+IYKTIRd5+aVncHF2ZO3GQ0DqJKkdXq1Oj8GLCT4axvGTFxg1rDnzv9mOo4M9nds9z5Hj4QQfTe3w++vvRxn9bnM++/JXXF2cGNCjPku/T7uTbnqF3SUYuTmU/nbeOVxJSTFx6kY2x9fbneaNyt81O9SsQTnebFOdt4YuJvhYGMdCLjBmSDPmLd+Bg4M9Xds+x5ET5wm+x6jT+9GpQRVaVH+a9xesxc3ZkcK5U+8FFyKi8XF3pedLNRi/bJPFSDSA1buD6dKoKu+0qcOaPUeo8VRhapcryqs3Jkp8plg+RrVvyNe/7SP8WpT5uJEx8VyLjmNMh8bk9fWk69TUyWS7v/Df2aGODaow+dtHlB16iM8y8/f3Z+3atQwYMICgoCD8/PwYMGAAQ4cOxWAwsG7dOnr16sW0adMoVqwYK1asoFKl1AE3DRo0YMaMGYwaNYrw8HCee+45Nm7caO4jNGLECOLi4mjbti1JSUm0bt2aadOmZeLC0mZTAdHP6w/i7eXGwJ4NcHNzYu++07w7eqW5/4ydnV1qP4YbXxgfTviBwX0aMW38a0THJLBi1R+sXH3rl917Y75nQM/6TBzZivj4JOZ/s4P1vx3O8npHXY9n8Icr6NutHtM/aktERCxbdx3ny0V3H/Fxk8FgwMnJAXs7O7y93Jg0sjWeOVxpUPspGtS+NWHV1p0neH/c97i5OTH363sf9379Mn8z7t7uvDnqVXzzeHPyr9MMazQ2zaa0tNg72HPp7OU0J1psM7gZTXukzn46cf0HFut6VBxCxKUoHJ0dcHDMmlE591KrhitzPsnF6ClXeXf8FYoUcGD0O7706nQrE2QwwKQP/ChZzLIj9bGTibTqEk5iIkyZGcGUmRHmdf26evHJmHvPw5OYBIlJqW/usAsp1Kji8tCyQ3DjffvBCvq+ddv7duet962Dgz0ON0ZI/Rt6hQ/G/0CvLrXp2qEmIacu8fYHy7mUzgzwoxIZFceQESsY2LMhrZtV4lxYBB9+9APHb8zD88ff//LJrI10alsDX18PDh05x8Dhy4iLT81W2NkZcHKy52Ys/OFHP9C3W13GD29JYlIy23eftBhNOnH6Wnp3rcvIoc0A+Gn9AatJLh+mXDlz8Mvmw3fNDqXeU+3Nwf4Hk3+kf+c6THj3ZRITk9m29x9mLcxc/6e0NHymBH2bPY+dnYGJnS078g78/AfOXIrgh13BrN5tfb++EhXLW9NWMLRNHV6u8TRnL0Wa9ymUy4f/dWuGk6MDHRtUoWODKub9vv51H5O/24yDvR3ON+4xN5t2v1qfdtDq7+XB/pCwR5IdgoebIQKoXLky27al/f1StWpV/vjDuj/oTR07dqRjx45prnNwcGDKlClMmTIlYxXKIIMpPc88yGJRUVF4eXlRvcEoHBwzP5LqsfVwfqg/Ms5rsn6elMfNL2F/P+oqPHC1u9z9kSU2w8Y/i0ZHG79AIDrg4fzQeRRSEuM5NOd9IiMj79lXJz1ufseWGDwee+f7/45NSYjn+JT3sqxejzubyhCJiIjIDQ+xycwWKCASERGxRQqIMsRmZqoWERERuV/KEImIiNigh92p+kmngEhERMQWqcksQ9RkJiIiItmeMkQiIiK2SBmiDFFAJCIiYoPUhyhj1GQmIiIi2Z4yRCIiIrZITWYZooBIRETEBqnJLGMUEImIiNgiZYgyRH2IREREJNtThkhERMQWKUOUIQqIREREbJDhxpKZ/bMTNZmJiIhItqcMkYiIiC1Sk1mGKCASERGxQRp2nzFqMhMREZFsTxkiERERW6QmswxRQCQiImKrsllQkxlqMhMREZFs75FkiEym1JA1OTn+UZz+4bHxSRzsTUmPugoPXNR146OuwgOXnGTjn0Ow+c+i0dYvEEhJtH/UVXhgUhJTP4M3vxuzijpVZ8wjCYiuX78OwN7fJjyK04ukm0+JR12Dh2HEo66AiJD63ejl5ZV1B1Qfogx5JAFRQEAAoaGh5MiRA4PB9n/ZiIiI3I3JZOL69esEBARk6XGVIcqYRxIQ2dnZkT9//kdxahERkcdOlmaG5L5olJmIiIgtUpNZhiggEhERsUFqMssYDbsXERGRbE8BkchjatmyZdSpUwdfX19y5MhBhQoVGD9+PHFxcek+Ru3atZk9e/YDrKWIPLZMWbBkIwqIRB4zRqORdu3a0bVrV55//nl++uknNm/eTK9evZg/fz6VKlXi4sWLj7qaIvK4U0CUIepDJPKYGTduHGvXrmXHjh2ULVvWXF6pUiXeeOMN2rdvz4EDB6hfv/4jrKWIiG1RhkjkMRITE8PHH3/MJ598YhEM3eTq6sp3331nDoZ27NhBrVq1cHV1JVeuXPTs2ZPIyMg0j124cGHWrVtnUTZ79mxq164NwObNm8mTJw+rV6+mZMmSuLu706ZNG6Kioli7di1PP/00np6etGvXzjy56s199u7dS40aNXB1daVSpUrs3r3bfI4FCxaQN29e8uTJw8yZM7PizyQi6XCzU3VmluxEAZHIY2TPnj3ExcXx6quv3nPbLVu2ULduXSpWrMivv/7KV199xZ49e6hbty7x8ff3OI5r164xaNAgJk+ezLp16zh69CitW7emb9++jBs3jjVr1nDo0CFGjRpl3icyMpJmzZrRpUsXtm7dStWqVWnWrBmxsbHExsbSu3dvvvzySz755BN+//13kpJs/5EvIo8FNZlliJrMRB4j58+fJ2fOnLi4uNxz2379+jFo0CDGjx9vLqtbty7lypXj888/p3///hk+f2JiIvPnz+e5554D4J133qFDhw789ttv5kzS0KFDmTx5snmf+Ph4Pv30U1q3bg1A+fLl+e6779i2bRvVq1fH3t6eihUrki9fPtq2bZvhOomIPAzKEIk8Rvz8/Lh69SqJiYn/ud2VK1c4cOAA3bp1syh3d3enXbt2bNq0KV3nMxotH17r7OxM9erVza/z5s2Lo6Mjzz//vLksT548XLp0yWKfli1bml87OjpStGhRwsLCyJEjB++++y4VKlRg+vTppKSkpKteIpJ5BpMp00t2ooBI5DFSvXp1DAYDP/zww39ud/Op2A4O1kleBweHNJ+a7ezsbNVcdWd/I09PT+zsbt0WHBwc8PT0tDiPnZ0dycnJd93n5rluNtsNGzaMNWvWsGDBAmWIRB4mNZlliAIikcdIjhw56NevH/379yckJMRqfWJiIp06deLQoUM8/fTTfP311xbrExISWLp0KXXq1LHaN2/evJw4ccL82mg0smzZMott7gxsIO2g61773KlKlSr88ssvrFixgrCwsHtuLyKZp07VGaM+RCKPmTFjxnDkyBEqV67MgAEDqF+/Pm5ubhw4cIDJkycTHx/P2LFjmTZtGk2aNOH69es0bdqUq1evMn78eBwcHOjRo4fVcV9++WUmTpxIsWLF8Pb2ZsqUKYSFheHt7f3AruWPP/7gvffe48MPP2TLli14enri5+f3wM4nInK/FBCJPGYcHR35/vvvmT9/Pl999RWTJ08mJSWFwMBA2rRpw+DBg3F3dydfvnz88ssvvPfee3z88cd4eHjQokULJk2ahJubm9Vx+/Tpw7lz53jzzTdxcHCgS5cuNGjQgO++++6BXctTTz1FQEAAjRs3Jk+ePCxbtgxnZ+cHdj4RuY0e7pohBlNanQ1ERETkiRQVFYWXlxfPtB2HvdO9R6zeTUpiPPu+eZ/IyEg8PT2zsIaPJ/UhEhERkWxPTWYiIiK2SE1mGaKASERExAZldqRYdhtlpiYzERERyfaUIRIREbFFajLLEAVEIiIiNiq7NXtlhprMREREJNtThkhERMQWmUypS2b2z0YUEImIiNggjTLLGAVEIiIitkidqjNEfYhEREQk21OGSERExAYZjKlLZvbPThQQiYiI2CI1mWWImsxEREQk21OGSERExAZplFnGKCASERGxRZqHKEPUZCYiIiLZnjJEIiIiNkhNZhmjgEhERMQWaZRZhiggEhERsUHKEGWM+hCJiIhItqeASERExBbdHGWWmSUDLly4QMuWLXF3dydfvnxMnDjxAV3Yg6EmMxERERv0sJvMWrdujaOjI5s2beLcuXP06NEDDw8Pevfuff+VeIgUEImIiEim7Ny5k127dhEWFoa/vz8A0dHRDBs2jJ49e2Jn9/g3SD3+NRQREZGMM2XBkk5bt24lKCjIHAxBasbo2rVrHDx4MAsu5sFTQCQiImKDbjaZZWZJrzNnzlCkSBGLMnd3d/LmzUtISEgWX9mDoSYzERERuauoqCiL187Ozjg7O1uUxcXF4evra7Wvj48PMTExD7R+WUUZIhEREVtkNGV+AQoUKICXl5d5mTBhgtWpXF1diY+PtyqPiIjAzc3tgV9qVlCGSERExBZl0UzVoaGheHp6movvzA4BFCpUiM2bN1uUxcbGEhYWRmBgYCYq8fAoQyQiIiJ35enpabGkFRAFBQXx+++/ExkZaS5btWoVXl5elC1b9mFW974pIBIREbFBBjLZqToD56pWrRoVKlTgtddeY/fu3fzwww8MGjSI4cOHY29v/6AuMUupyUxERMQW3cds01b7Z8C3335L9+7dqVOnDt7e3gwcOJC+ffve//kfMgVEIiIiNuhhz1SdO3duVq1adf8nfMTUZCYiIiLZnjJEIiIitiiLRpllFwqIREREbJDBZMKQiT5Emdn3SaQmMxEREcn2lCESERGxRcYbS2b2z0YUEImIiNggNZlljJrMREREJNtThkhERMQWaZRZhiggEhERsUUPeabqJ52azERERCTbU4ZIRETEBj3sR3c86RQQiYiI2CI1mWWIAiIREREbZDCmLpnZPztRHyIRERHJ9pQhEhERsUVqMssQBUQiIiK2SPMQZYiazERERCTbU4ZIRETEBulZZhmjgEhERMQWqQ9RhqjJTERERLI9ZYhERERskQnIzFxC2StBpIBIRETEFqkPUcaoyUxERESyPWWIREREbJGJTHaqzrKaPBEUEImIiNgijTLLEAVEIiIitsgIGDK5fzaiPkQiIiKS7SlDJCIiYoM0yixjFBCJiIjYIvUhyhA1mYmIiEi2pwyRiIiILVKGKEMUEImIiNgiBUQZoiYzERERyfaUIRIREbFFmocoQxQQiYiI2CANu88YNZmJiIhItqcMkYiIiC1Sp+oMUUAkIiJii4wmMGQiqDEqIBIREZEnnTJEGaI+RCIiIpLtKUMkIiJikzKZISJ7ZYgUEImIiNgiNZlliJrMREREJNtThkhERMQWGU1kqtlLo8xERETkiWcypi6Z2T8bUZOZiIiIZHvKEImIiNgidarOEAVEIiIitkh9iDJETWYiIiKS7SlDJCIiYovUZJYhCohERERskYlMBkRZVpMnggIiERERW6QMUYaoD5GIiIhke8oQiYiI2CKjEcjE5IrG7DUxowIiERERW6QmswxRk5mIiIhke8oQiYiI2CJliDJEAZGIiIgt0kzVGaImMxEREcn2lCESERGxQSaTEZPp/keKZWbfJ5ECIhEREVtkMmWu2Sub9SFSk5mIiIhke8oQiYiI2CJTJjtVZ7MMkQIiERERW2Q0giET/YCyWR8iNZmJiIjYopvzEGVmyWK//vorBoPBYvnpp58AiI6OpnPnznh6epIzZ06GDBlCcnKyed8TJ05Qt25dXF1dKVq0KPPnz7c49po1ayhTpgwuLi5UrVqVPXv2ZKhuyhCJiIjIQxEcHEzt2rWZNWuWuaxAgQIA9OjRg4MHD7J69WoSEhLo2bMnAJMnTyYhIYHGjRtTuXJltm3bxv79++nduzc5c+akSZMmHD58mJYtW/Lhhx/y4osvsmTJEho1asShQ4fIly9fuupmMJmyWSOhiIiIDYuKisLLy4u6bq/hYHC67+MkmxL5NXYpkZGReHp6ZkndevTogYuLC1OnTrUoDwsLI3/+/Ozbt48KFSoAsGXLFho2bMiFCxdYu3Yt/fv35+zZszg5pV7TqFGj+Pnnn9mzZw/du3fnwoULrFq1ynzMOnXqUKVKFSZNmpSuuqnJTERExBY9hk1mwcHBlCxZ0qp827ZtFClSxBwMAQQFBZE7d262bNnC1q1badq0qTkYAmjfvj179+4lIiKCrVu30qpVK4tjtm/fng0bNqS7bgqIRERE5KEIDg5mxIgR+Pj4UL9+fY4ePQrAmTNnKFKkiMW2BoOBokWLEhISkub6IkWKYG9vz6lTp9JcX6xYMUJCQtJdN/UhEhERsUVGExgyP+w+KirKotjZ2RlnZ+cMHy4qKoru3btTr149XF1dmTNnDnXr1uXo0aPExcXh4+NjtY+Pjw8xMTFprrezs8PT0/Ou62/um14KiERERGyRyQRkZth9akB0s9PzTSNGjGDkyJFWm+/atYvGjRuneajXX3+dmTNnMmHCBHNZjRo1KF++PCtXrsTV1ZX4+Hir/SIiInBzc0tzvclkIioq6q7rb+6bXgqIRERE5K5CQ0MtOlXfLTv07LPPEhERke7jGgwGSpQowdmzZylZsmSazVv//PMPgYGB/PPPP1brT506RUpKCkWKFKFQoUKEhIRQqVIl8/qTJ08SGBiY7vqoD5GIiIgNMhlNmV4APD09LZb7aS6Lj4+naNGi7N2711wWGxvLrl27KFWqFM8//zzHjh3j5MmT5vU7duwgPDycWrVqERQUxNq1ay3mJVq6dCmVKlXCx8eHoKAgVq9ebXHOpUuXUr9+/XTXURkiERERW2Qykrkms6ybqdrFxYXnn3+eN998k6lTp+Ls7MyYMWPw8fGhefPmODo60rZtW9q2bcv//vc/EhIS6N27N3379sXHx4eXX36Z9957j86dOzNgwACCg4OZMGECX3/9NQB9+/alUqVKlC9fnvr167NixQp2797N3Llz011HZYhERETkgZsxYwZBQUG0a9eOJk2a4Onpydq1a3F0dARg1qxZPP3007z00ku89tprNG3alI8++ggAJycn1q1bR2hoKDVq1GDEiBF8+umnNGvWDICnnnqK7777jq+++opq1aqxfv161q9fT/78+dNdP03MKCIiYkNuTsxY2/AyDgbH+z5OsimJzabvs3RixseZmsxERERsULIpIVPNXskkZWFtHn8KiERERGyIk5MTefLkYdv5NZk+Vp48eSxmh7ZlajITERGxMfHx8SQmJmb6OE5OTri4uGRBjR5/CohEREQk29MoMxEREcn2FBCJiIhItqeASERERLI9BUQiIiKS7SkgEhERkWxPAZGIiIhkewqIREREJNtTQCQiIiLZ3v8Bb5nKEyPlDfAAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "K_1 = [ 8.00000000e+01 -1.00000000e+01 -5.49240612e+03  1.89217098e+04\n",
      "  1.00363262e+02  8.03757851e+00  4.47308441e+02  2.96277380e+03]\n",
      "K_2 = [-1.00000000e+01  8.00000000e+01 -5.49240612e+03  1.89217098e+04\n",
      "  8.03757851e+00  1.00363262e+02  4.47308441e+02  2.96277380e+03]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x800 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "# 初始状态（含小扰动）\n",
    "x0 = np.array([0, 0, 10/360*2*3.14,-10/360*2*3.14, 0, 0, 0, 0])\n",
    "\n",
    "# 检查系统可控性\n",
    "Tc = np.zeros((8,16))  # 可控性矩阵\n",
    "for i in range(8):\n",
    "    Tc[:, 2*i:2*(i+1)] = np.linalg.matrix_power(G, i) @ H\n",
    "\n",
    "from vis import simulate_and_plot,plot_system_outputs\n",
    "\n",
    "if np.linalg.matrix_rank(Tc) == 8:\n",
    "    print(\"系统可控！\")\n",
    "    \n",
    "    # 定义LQR权重矩阵\n",
    "    Q = np.diag([51.2938, 51.2938, 32.8281, 131.3123, \n",
    "                 51.2938, 51.2938, 131.3123, 131.3123])\n",
    "    rho = 0.0005\n",
    "    R = rho * np.eye(2)\n",
    "    \n",
    "    # 计算LQR增益矩阵\n",
    "    K, _, _ = dlqr(G, H, Q, R)\n",
    "    print_a_matrix(K)\n",
    "    #K = np.zeros((2,8))  # 2x8的零矩阵替代之前的省略号\n",
    "    K[:2, :2] = np.array([[80.0, -10.0], [-10.0, 80.0]])  # 对称耦合增益\n",
    "    print_a_matrix(K)\n",
    "\n",
    "    # 闭环系统仿真：系统是使用 状态反馈控制律 u_k = -Kx_k 来实现闭环控制的。\n",
    "    G_cl = G - H @ K  # 闭环状态矩阵\n",
    "    y = np.zeros((len(t), 4))  # 输出轨迹\n",
    "\n",
    "        # 打印控制增益\n",
    "    print(\"K_1 =\", K[0,:])\n",
    "    print(\"K_2 =\", K[1,:])\n",
    "    \n",
    "    # 时域仿真\n",
    "    simulate_and_plot(x0,t,G_cl,H,u,C)\n",
    "\n",
    "\n",
    "else:\n",
    "    print(\"系统不可控！\")\n",
    "\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "f71c0550",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x800 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "u = np.zeros((2, len(t)))\n",
    "x = x0.copy()\n",
    "for i in range(len(t)):\n",
    "    u[:,i] = -K @ x\n",
    "    x = G @ x + H @ u[:,i]\n",
    "    y[i,:] = C @ x\n",
    "plot_system_outputs(y,t)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "13915598",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_system_outputs(u.T,t,subplot_titles=['左轮力', '右轮力'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "0b5c2047",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x500 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "K 与 data 的差异 (K - data):\n",
      " [[-1.26945655e+00  6.16418952e-02]\n",
      " [ 6.16418951e-02 -1.26945655e+00]\n",
      " [ 2.09211066e-08  1.86446414e-08]\n",
      " [-6.18769263e-07 -6.21610525e-07]\n",
      " [-2.96388691e-09 -3.01596792e-09]\n",
      " [-2.96482305e-09 -3.01692182e-09]\n",
      " [-2.97534370e-08 -3.01041041e-08]\n",
      " [-9.90371518e-08 -9.95228220e-08]]\n",
      "K 与 data 的最大绝对差值: 1.2694565505289575\n",
      "K 与 data 的均方根误差(RMSE): 0.4493494821433309\n",
      "K 与 data 是否近似相等 (allclose): False\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "# 假设数据保存在 'K_matrix.txt' 文件中\n",
    "data = np.loadtxt('K_matrix.txt', delimiter='\\t')  # 制表符分隔\n",
    "data=data.T\n",
    "from vis import compare_matrices\n",
    "compare_matrices(K, data)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "bd07436d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x800 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x0=np.array([0,0,0,0.1,0,0,0,0])\n",
    "simulate_and_plot(x0,t,G_cl,H,u,C)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "4438f38b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x800 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "2025-07-09 20:24:08.659 python[95397:1572654] error messaging the mach port for IMKCFRunLoopWakeUpReliable\n"
     ]
    }
   ],
   "source": [
    "x0=np.array([0,0,np.pi,np.pi,0,0,0,0])\n",
    "simulate_and_plot(x0,t,G_cl,H,u,C,render=True)\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "base",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
